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Finding the Fourth Proportional to 31,644, 47,459.52 and 16,053.12

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Solution

The fourth proportional to 31,644, 47,459.52 and 16,053.12 is: 24,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644 : 47,459.52 = 16,053.12 : x
  2. Step 2: Convert to fraction form
    31,644/47,459.52 = 16,053.12/x
  3. Step 3: Cross multiply
    31,644x = 47,459.52 × 16,053.12
  4. Step 4: Simplify right side
    31,644x = 761,873,369.70
  5. Step 5: Solve for x
    x = 761,873,369.70/31,644
  6. Step 6: Final answer
    x = 24,076.39

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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.