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Finding the Fourth Proportional to 32,434.36, 48,654.20 and 10,249

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Solution

The fourth proportional to 32,434.36, 48,654.20 and 10,249 is: 15,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.36 : 48,654.20 = 10,249 : x
  2. Step 2: Convert to fraction form
    32,434.36/48,654.20 = 10,249/x
  3. Step 3: Cross multiply
    32,434.36x = 48,654.20 × 10,249
  4. Step 4: Simplify right side
    32,434.36x = 498,656,895.80
  5. Step 5: Solve for x
    x = 498,656,895.80/32,434.36
  6. Step 6: Final answer
    x = 15,374.34

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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.