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Finding the Fourth Proportional to 82,497.88, 113,761 and 48,957.40

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Solution

The fourth proportional to 82,497.88, 113,761 and 48,957.40 is: 67,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.88 : 113,761 = 48,957.40 : x
  2. Step 2: Convert to fraction form
    82,497.88/113,761 = 48,957.40/x
  3. Step 3: Cross multiply
    82,497.88x = 113,761 × 48,957.40
  4. Step 4: Simplify right side
    82,497.88x = 5,569,442,781.40
  5. Step 5: Solve for x
    x = 5,569,442,781.40/82,497.88
  6. Step 6: Final answer
    x = 67,510.13

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1.5x scale

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.