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Finding the Fourth Proportional to 102,447.88, 153,654.54 and 32,317

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Solution

The fourth proportional to 102,447.88, 153,654.54 and 32,317 is: 48,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,447.88 : 153,654.54 = 32,317 : x
  2. Step 2: Convert to fraction form
    102,447.88/153,654.54 = 32,317/x
  3. Step 3: Cross multiply
    102,447.88x = 153,654.54 × 32,317
  4. Step 4: Simplify right side
    102,447.88x = 4,965,653,769.18
  5. Step 5: Solve for x
    x = 4,965,653,769.18/102,447.88
  6. Step 6: Final answer
    x = 48,470.05

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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.