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Finding the Fourth Proportional to 59,647.91, 82,314.38 and 32,792.14

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Solution

The fourth proportional to 59,647.91, 82,314.38 and 32,792.14 is: 45,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,647.91 : 82,314.38 = 32,792.14 : x
  2. Step 2: Convert to fraction form
    59,647.91/82,314.38 = 32,792.14/x
  3. Step 3: Cross multiply
    59,647.91x = 82,314.38 × 32,792.14
  4. Step 4: Simplify right side
    59,647.91x = 2,699,264,672.97
  5. Step 5: Solve for x
    x = 2,699,264,672.97/59,647.91
  6. Step 6: Final answer
    x = 45,253.30

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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.