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Finding the Fourth Proportional to 31,702.83, 47,554.14 and 9,516.12

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Solution

The fourth proportional to 31,702.83, 47,554.14 and 9,516.12 is: 14,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.83 : 47,554.14 = 9,516.12 : x
  2. Step 2: Convert to fraction form
    31,702.83/47,554.14 = 9,516.12/x
  3. Step 3: Cross multiply
    31,702.83x = 47,554.14 × 9,516.12
  4. Step 4: Simplify right side
    31,702.83x = 452,530,902.74
  5. Step 5: Solve for x
    x = 452,530,902.74/31,702.83
  6. Step 6: Final answer
    x = 14,274.15

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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.