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Finding the Fourth Proportional to 29,061.76, 43,569.60 and 11,536

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Solution

The fourth proportional to 29,061.76, 43,569.60 and 11,536 is: 17,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,061.76 : 43,569.60 = 11,536 : x
  2. Step 2: Convert to fraction form
    29,061.76/43,569.60 = 11,536/x
  3. Step 3: Cross multiply
    29,061.76x = 43,569.60 × 11,536
  4. Step 4: Simplify right side
    29,061.76x = 502,618,905.60
  5. Step 5: Solve for x
    x = 502,618,905.60/29,061.76
  6. Step 6: Final answer
    x = 17,294.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.