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Finding the Fourth Proportional to 29,702.38, 44,557.67 and 9,982.47

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Solution

The fourth proportional to 29,702.38, 44,557.67 and 9,982.47 is: 14,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.38 : 44,557.67 = 9,982.47 : x
  2. Step 2: Convert to fraction form
    29,702.38/44,557.67 = 9,982.47/x
  3. Step 3: Cross multiply
    29,702.38x = 44,557.67 × 9,982.47
  4. Step 4: Simplify right side
    29,702.38x = 444,795,331.34
  5. Step 5: Solve for x
    x = 444,795,331.34/29,702.38
  6. Step 6: Final answer
    x = 14,975.07

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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.