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Finding the Fourth Proportional to 82,497.60, 123,746.40 and 70,687.80

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Solution

The fourth proportional to 82,497.60, 123,746.40 and 70,687.80 is: 106,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.60 : 123,746.40 = 70,687.80 : x
  2. Step 2: Convert to fraction form
    82,497.60/123,746.40 = 70,687.80/x
  3. Step 3: Cross multiply
    82,497.60x = 123,746.40 × 70,687.80
  4. Step 4: Simplify right side
    82,497.60x = 8,747,360,773.92
  5. Step 5: Solve for x
    x = 8,747,360,773.92/82,497.60
  6. Step 6: Final answer
    x = 106,031.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.