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Finding the Fourth Proportional to 123,539.31, 185,353.11 and 48,617.96

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Solution

The fourth proportional to 123,539.31, 185,353.11 and 48,617.96 is: 72,944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,539.31 : 185,353.11 = 48,617.96 : x
  2. Step 2: Convert to fraction form
    123,539.31/185,353.11 = 48,617.96/x
  3. Step 3: Cross multiply
    123,539.31x = 185,353.11 × 48,617.96
  4. Step 4: Simplify right side
    123,539.31x = 9,011,489,161.09
  5. Step 5: Solve for x
    x = 9,011,489,161.09/123,539.31
  6. Step 6: Final answer
    x = 72,944.31

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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.