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Finding the Fourth Proportional to 34,474.68, 51,702.48 and 9,508.86

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Solution

The fourth proportional to 34,474.68, 51,702.48 and 9,508.86 is: 14,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,474.68 : 51,702.48 = 9,508.86 : x
  2. Step 2: Convert to fraction form
    34,474.68/51,702.48 = 9,508.86/x
  3. Step 3: Cross multiply
    34,474.68x = 51,702.48 × 9,508.86
  4. Step 4: Simplify right side
    34,474.68x = 491,631,643.97
  5. Step 5: Solve for x
    x = 491,631,643.97/34,474.68
  6. Step 6: Final answer
    x = 14,260.66

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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.