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Finding the Fourth Proportional to 55,721,862.40, 83,417,456.40 and 41,408,384.80

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Solution

The fourth proportional to 55,721,862.40, 83,417,456.40 and 41,408,384.80 is: 61,989,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,721,862.40 : 83,417,456.40 = 41,408,384.80 : x
  2. Step 2: Convert to fraction form
    55,721,862.40/83,417,456.40 = 41,408,384.80/x
  3. Step 3: Cross multiply
    55,721,862.40x = 83,417,456.40 × 41,408,384.80
  4. Step 4: Simplify right side
    55,721,862.40x = 3,454,182,133,648,422.50
  5. Step 5: Solve for x
    x = 3,454,182,133,648,422.50/55,721,862.40
  6. Step 6: Final answer
    x = 61,989,710.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.