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Finding the Fourth Proportional to 52,701.28, 72,754.32 and 40,737.60

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Solution

The fourth proportional to 52,701.28, 72,754.32 and 40,737.60 is: 56,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,701.28 : 72,754.32 = 40,737.60 : x
  2. Step 2: Convert to fraction form
    52,701.28/72,754.32 = 40,737.60/x
  3. Step 3: Cross multiply
    52,701.28x = 72,754.32 × 40,737.60
  4. Step 4: Simplify right side
    52,701.28x = 2,963,836,386.43
  5. Step 5: Solve for x
    x = 2,963,836,386.43/52,701.28
  6. Step 6: Final answer
    x = 56,238.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.