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Finding the Fourth Proportional to 55,747, 83,645.08 and 22,531.92

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Solution

The fourth proportional to 55,747, 83,645.08 and 22,531.92 is: 33,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,747 : 83,645.08 = 22,531.92 : x
  2. Step 2: Convert to fraction form
    55,747/83,645.08 = 22,531.92/x
  3. Step 3: Cross multiply
    55,747x = 83,645.08 × 22,531.92
  4. Step 4: Simplify right side
    55,747x = 1,884,684,250.95
  5. Step 5: Solve for x
    x = 1,884,684,250.95/55,747
  6. Step 6: Final answer
    x = 33,807.81

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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.