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Finding the Fourth Proportional to 52,708, 72,754.32 and 37,847.20

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Solution

The fourth proportional to 52,708, 72,754.32 and 37,847.20 is: 52,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708 : 72,754.32 = 37,847.20 : x
  2. Step 2: Convert to fraction form
    52,708/72,754.32 = 37,847.20/x
  3. Step 3: Cross multiply
    52,708x = 72,754.32 × 37,847.20
  4. Step 4: Simplify right side
    52,708x = 2,753,547,299.90
  5. Step 5: Solve for x
    x = 2,753,547,299.90/52,708
  6. Step 6: Final answer
    x = 52,241.54

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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.