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Finding the Fourth Proportional to 82,132.01, 113,337.54 and 46,319.88

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Solution

The fourth proportional to 82,132.01, 113,337.54 and 46,319.88 is: 63,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,132.01 : 113,337.54 = 46,319.88 : x
  2. Step 2: Convert to fraction form
    82,132.01/113,337.54 = 46,319.88/x
  3. Step 3: Cross multiply
    82,132.01x = 113,337.54 × 46,319.88
  4. Step 4: Simplify right side
    82,132.01x = 5,249,781,252.30
  5. Step 5: Solve for x
    x = 5,249,781,252.30/82,132.01
  6. Step 6: Final answer
    x = 63,918.82

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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.