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Finding the Fourth Proportional to 29,827.50, 41,159.53 and 17,560.96

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Solution

The fourth proportional to 29,827.50, 41,159.53 and 17,560.96 is: 24,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.50 : 41,159.53 = 17,560.96 : x
  2. Step 2: Convert to fraction form
    29,827.50/41,159.53 = 17,560.96/x
  3. Step 3: Cross multiply
    29,827.50x = 41,159.53 × 17,560.96
  4. Step 4: Simplify right side
    29,827.50x = 722,800,859.95
  5. Step 5: Solve for x
    x = 722,800,859.95/29,827.50
  6. Step 6: Final answer
    x = 24,232.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.