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Finding the Fourth Proportional to 106,171.92, 159,280.92 and 32,298

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Solution

The fourth proportional to 106,171.92, 159,280.92 and 32,298 is: 48,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,171.92 : 159,280.92 = 32,298 : x
  2. Step 2: Convert to fraction form
    106,171.92/159,280.92 = 32,298/x
  3. Step 3: Cross multiply
    106,171.92x = 159,280.92 × 32,298
  4. Step 4: Simplify right side
    106,171.92x = 5,144,455,154.16
  5. Step 5: Solve for x
    x = 5,144,455,154.16/106,171.92
  6. Step 6: Final answer
    x = 48,454.01

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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.