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Finding the Fourth Proportional to 32,702.31, 49,059.99 and 10,513.98

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Solution

The fourth proportional to 32,702.31, 49,059.99 and 10,513.98 is: 15,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.31 : 49,059.99 = 10,513.98 : x
  2. Step 2: Convert to fraction form
    32,702.31/49,059.99 = 10,513.98/x
  3. Step 3: Cross multiply
    32,702.31x = 49,059.99 × 10,513.98
  4. Step 4: Simplify right side
    32,702.31x = 515,815,753.66
  5. Step 5: Solve for x
    x = 515,815,753.66/32,702.31
  6. Step 6: Final answer
    x = 15,773.07

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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.