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Finding the Fourth Proportional to 101,864.60, 152,796.54 and 31,743.96

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Solution

The fourth proportional to 101,864.60, 152,796.54 and 31,743.96 is: 47,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,864.60 : 152,796.54 = 31,743.96 : x
  2. Step 2: Convert to fraction form
    101,864.60/152,796.54 = 31,743.96/x
  3. Step 3: Cross multiply
    101,864.60x = 152,796.54 × 31,743.96
  4. Step 4: Simplify right side
    101,864.60x = 4,850,367,253.90
  5. Step 5: Solve for x
    x = 4,850,367,253.90/101,864.60
  6. Step 6: Final answer
    x = 47,615.83

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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.