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Finding the Fourth Proportional to 55,456.60, 83,237.10 and 29,180.20

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Solution

The fourth proportional to 55,456.60, 83,237.10 and 29,180.20 is: 43,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,456.60 : 83,237.10 = 29,180.20 : x
  2. Step 2: Convert to fraction form
    55,456.60/83,237.10 = 29,180.20/x
  3. Step 3: Cross multiply
    55,456.60x = 83,237.10 × 29,180.20
  4. Step 4: Simplify right side
    55,456.60x = 2,428,875,225.42
  5. Step 5: Solve for x
    x = 2,428,875,225.42/55,456.60
  6. Step 6: Final answer
    x = 43,797.77

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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.