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Finding the Fourth Proportional to 102,332.28, 153,490.96 and 32,231.64

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Solution

The fourth proportional to 102,332.28, 153,490.96 and 32,231.64 is: 48,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,332.28 : 153,490.96 = 32,231.64 : x
  2. Step 2: Convert to fraction form
    102,332.28/153,490.96 = 32,231.64/x
  3. Step 3: Cross multiply
    102,332.28x = 153,490.96 × 32,231.64
  4. Step 4: Simplify right side
    102,332.28x = 4,947,265,365.97
  5. Step 5: Solve for x
    x = 4,947,265,365.97/102,332.28
  6. Step 6: Final answer
    x = 48,345.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.