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Finding the Fourth Proportional to 31,512.98, 47,277 and 9,023.96

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Solution

The fourth proportional to 31,512.98, 47,277 and 9,023.96 is: 13,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512.98 : 47,277 = 9,023.96 : x
  2. Step 2: Convert to fraction form
    31,512.98/47,277 = 9,023.96/x
  3. Step 3: Cross multiply
    31,512.98x = 47,277 × 9,023.96
  4. Step 4: Simplify right side
    31,512.98x = 426,625,875.11
  5. Step 5: Solve for x
    x = 426,625,875.11/31,512.98
  6. Step 6: Final answer
    x = 13,538.10

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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.