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Finding the Fourth Proportional to 29,755.92, 44,633.19 and 7,569.32

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Solution

The fourth proportional to 29,755.92, 44,633.19 and 7,569.32 is: 11,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,755.92 : 44,633.19 = 7,569.32 : x
  2. Step 2: Convert to fraction form
    29,755.92/44,633.19 = 7,569.32/x
  3. Step 3: Cross multiply
    29,755.92x = 44,633.19 × 7,569.32
  4. Step 4: Simplify right side
    29,755.92x = 337,842,702.95
  5. Step 5: Solve for x
    x = 337,842,702.95/29,755.92
  6. Step 6: Final answer
    x = 11,353.80

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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.