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Finding the Fourth Proportional to 82,411.52, 113,746.72 and 48,424

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Solution

The fourth proportional to 82,411.52, 113,746.72 and 48,424 is: 66,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,411.52 : 113,746.72 = 48,424 : x
  2. Step 2: Convert to fraction form
    82,411.52/113,746.72 = 48,424/x
  3. Step 3: Cross multiply
    82,411.52x = 113,746.72 × 48,424
  4. Step 4: Simplify right side
    82,411.52x = 5,508,071,169.28
  5. Step 5: Solve for x
    x = 5,508,071,169.28/82,411.52
  6. Step 6: Final answer
    x = 66,836.18

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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.