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Finding the Fourth Proportional to 31,636.52, 47,458.02 and 14,104.88

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Solution

The fourth proportional to 31,636.52, 47,458.02 and 14,104.88 is: 21,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,636.52 : 47,458.02 = 14,104.88 : x
  2. Step 2: Convert to fraction form
    31,636.52/47,458.02 = 14,104.88/x
  3. Step 3: Cross multiply
    31,636.52x = 47,458.02 × 14,104.88
  4. Step 4: Simplify right side
    31,636.52x = 669,389,677.14
  5. Step 5: Solve for x
    x = 669,389,677.14/31,636.52
  6. Step 6: Final answer
    x = 21,158.76

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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.