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Finding the Fourth Proportional to 31,932, 47,917.44 and 13,464

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Solution

The fourth proportional to 31,932, 47,917.44 and 13,464 is: 20,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932 : 47,917.44 = 13,464 : x
  2. Step 2: Convert to fraction form
    31,932/47,917.44 = 13,464/x
  3. Step 3: Cross multiply
    31,932x = 47,917.44 × 13,464
  4. Step 4: Simplify right side
    31,932x = 645,160,412.16
  5. Step 5: Solve for x
    x = 645,160,412.16/31,932
  6. Step 6: Final answer
    x = 20,204.20

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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.