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Finding the Fourth Proportional to 83,562.30, 115,326.18 and 47,744.10

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Solution

The fourth proportional to 83,562.30, 115,326.18 and 47,744.10 is: 65,892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,562.30 : 115,326.18 = 47,744.10 : x
  2. Step 2: Convert to fraction form
    83,562.30/115,326.18 = 47,744.10/x
  3. Step 3: Cross multiply
    83,562.30x = 115,326.18 × 47,744.10
  4. Step 4: Simplify right side
    83,562.30x = 5,506,144,670.54
  5. Step 5: Solve for x
    x = 5,506,144,670.54/83,562.30
  6. Step 6: Final answer
    x = 65,892.69

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