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Finding the Fourth Proportional to 32,432, 48,654.40 and 10,248.64

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Solution

The fourth proportional to 32,432, 48,654.40 and 10,248.64 is: 15,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,432 : 48,654.40 = 10,248.64 : x
  2. Step 2: Convert to fraction form
    32,432/48,654.40 = 10,248.64/x
  3. Step 3: Cross multiply
    32,432x = 48,654.40 × 10,248.64
  4. Step 4: Simplify right side
    32,432x = 498,641,430.02
  5. Step 5: Solve for x
    x = 498,641,430.02/32,432
  6. Step 6: Final answer
    x = 15,374.98

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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.