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Finding the Fourth Proportional to 30,702.52, 46,053.78 and 8,515.90

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Solution

The fourth proportional to 30,702.52, 46,053.78 and 8,515.90 is: 12,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.52 : 46,053.78 = 8,515.90 : x
  2. Step 2: Convert to fraction form
    30,702.52/46,053.78 = 8,515.90/x
  3. Step 3: Cross multiply
    30,702.52x = 46,053.78 × 8,515.90
  4. Step 4: Simplify right side
    30,702.52x = 392,189,385.10
  5. Step 5: Solve for x
    x = 392,189,385.10/30,702.52
  6. Step 6: Final answer
    x = 12,773.85

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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.