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Finding the Fourth Proportional to 71,590.68, 98,797.92 and 39,762

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Solution

The fourth proportional to 71,590.68, 98,797.92 and 39,762 is: 54,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,590.68 : 98,797.92 = 39,762 : x
  2. Step 2: Convert to fraction form
    71,590.68/98,797.92 = 39,762/x
  3. Step 3: Cross multiply
    71,590.68x = 98,797.92 × 39,762
  4. Step 4: Simplify right side
    71,590.68x = 3,928,402,895.04
  5. Step 5: Solve for x
    x = 3,928,402,895.04/71,590.68
  6. Step 6: Final answer
    x = 54,873.10

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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.