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Finding the Fourth Proportional to 31,614, 47,407.02 and 16,819.40

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Solution

The fourth proportional to 31,614, 47,407.02 and 16,819.40 is: 25,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614 : 47,407.02 = 16,819.40 : x
  2. Step 2: Convert to fraction form
    31,614/47,407.02 = 16,819.40/x
  3. Step 3: Cross multiply
    31,614x = 47,407.02 × 16,819.40
  4. Step 4: Simplify right side
    31,614x = 797,357,632.19
  5. Step 5: Solve for x
    x = 797,357,632.19/31,614
  6. Step 6: Final answer
    x = 25,221.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.