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Finding the Fourth Proportional to 83,034.60, 124,551.90 and 57,665.40

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Solution

The fourth proportional to 83,034.60, 124,551.90 and 57,665.40 is: 86,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,034.60 : 124,551.90 = 57,665.40 : x
  2. Step 2: Convert to fraction form
    83,034.60/124,551.90 = 57,665.40/x
  3. Step 3: Cross multiply
    83,034.60x = 124,551.90 × 57,665.40
  4. Step 4: Simplify right side
    83,034.60x = 7,182,335,134.26
  5. Step 5: Solve for x
    x = 7,182,335,134.26/83,034.60
  6. Step 6: Final answer
    x = 86,498.10

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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.