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Finding the Fourth Proportional to 133,057.32, 199,619.10 and 39,560.52

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Solution

The fourth proportional to 133,057.32, 199,619.10 and 39,560.52 is: 59,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,057.32 : 199,619.10 = 39,560.52 : x
  2. Step 2: Convert to fraction form
    133,057.32/199,619.10 = 39,560.52/x
  3. Step 3: Cross multiply
    133,057.32x = 199,619.10 × 39,560.52
  4. Step 4: Simplify right side
    133,057.32x = 7,897,035,397.93
  5. Step 5: Solve for x
    x = 7,897,035,397.93/133,057.32
  6. Step 6: Final answer
    x = 59,350.63

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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.