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Finding the Fourth Proportional to 32,249, 48,387.35 and 16,677.56

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Solution

The fourth proportional to 32,249, 48,387.35 and 16,677.56 is: 25,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249 : 48,387.35 = 16,677.56 : x
  2. Step 2: Convert to fraction form
    32,249/48,387.35 = 16,677.56/x
  3. Step 3: Cross multiply
    32,249x = 48,387.35 × 16,677.56
  4. Step 4: Simplify right side
    32,249x = 806,982,932.87
  5. Step 5: Solve for x
    x = 806,982,932.87/32,249
  6. Step 6: Final answer
    x = 25,023.50

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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.