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Finding the Fourth Proportional to 97,687.80, 146,531.70 and 57,665.70

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Solution

The fourth proportional to 97,687.80, 146,531.70 and 57,665.70 is: 86,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,687.80 : 146,531.70 = 57,665.70 : x
  2. Step 2: Convert to fraction form
    97,687.80/146,531.70 = 57,665.70/x
  3. Step 3: Cross multiply
    97,687.80x = 146,531.70 × 57,665.70
  4. Step 4: Simplify right side
    97,687.80x = 8,449,853,052.69
  5. Step 5: Solve for x
    x = 8,449,853,052.69/97,687.80
  6. Step 6: Final answer
    x = 86,498.55

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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.