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Finding the Fourth Proportional to 52,366.86, 78,520.53 and 35,747.01

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Solution

The fourth proportional to 52,366.86, 78,520.53 and 35,747.01 is: 53,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,366.86 : 78,520.53 = 35,747.01 : x
  2. Step 2: Convert to fraction form
    52,366.86/78,520.53 = 35,747.01/x
  3. Step 3: Cross multiply
    52,366.86x = 78,520.53 × 35,747.01
  4. Step 4: Simplify right side
    52,366.86x = 2,806,874,171.12
  5. Step 5: Solve for x
    x = 2,806,874,171.12/52,366.86
  6. Step 6: Final answer
    x = 53,600.20

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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.