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Finding the Fourth Proportional to 29,827.26, 44,729.82 and 8,761.50

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Solution

The fourth proportional to 29,827.26, 44,729.82 and 8,761.50 is: 13,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.26 : 44,729.82 = 8,761.50 : x
  2. Step 2: Convert to fraction form
    29,827.26/44,729.82 = 8,761.50/x
  3. Step 3: Cross multiply
    29,827.26x = 44,729.82 × 8,761.50
  4. Step 4: Simplify right side
    29,827.26x = 391,900,317.93
  5. Step 5: Solve for x
    x = 391,900,317.93/29,827.26
  6. Step 6: Final answer
    x = 13,139.00

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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.