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Finding the Fourth Proportional to 100,465.52, 150,724.53 and 58,305.06

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Solution

The fourth proportional to 100,465.52, 150,724.53 and 58,305.06 is: 87,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,465.52 : 150,724.53 = 58,305.06 : x
  2. Step 2: Convert to fraction form
    100,465.52/150,724.53 = 58,305.06/x
  3. Step 3: Cross multiply
    100,465.52x = 150,724.53 × 58,305.06
  4. Step 4: Simplify right side
    100,465.52x = 8,788,002,765.12
  5. Step 5: Solve for x
    x = 8,788,002,765.12/100,465.52
  6. Step 6: Final answer
    x = 87,472.83

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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.