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Finding the Fourth Proportional to 83,057.40, 124,586.10 and 72,689.40

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Solution

The fourth proportional to 83,057.40, 124,586.10 and 72,689.40 is: 109,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,057.40 : 124,586.10 = 72,689.40 : x
  2. Step 2: Convert to fraction form
    83,057.40/124,586.10 = 72,689.40/x
  3. Step 3: Cross multiply
    83,057.40x = 124,586.10 × 72,689.40
  4. Step 4: Simplify right side
    83,057.40x = 9,056,088,857.34
  5. Step 5: Solve for x
    x = 9,056,088,857.34/83,057.40
  6. Step 6: Final answer
    x = 109,034.10

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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.