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Finding the Fourth Proportional to 29,878.32, 44,817.52 and 7,691.74

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Solution

The fourth proportional to 29,878.32, 44,817.52 and 7,691.74 is: 11,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.32 : 44,817.52 = 7,691.74 : x
  2. Step 2: Convert to fraction form
    29,878.32/44,817.52 = 7,691.74/x
  3. Step 3: Cross multiply
    29,878.32x = 44,817.52 × 7,691.74
  4. Step 4: Simplify right side
    29,878.32x = 344,724,711.28
  5. Step 5: Solve for x
    x = 344,724,711.28/29,878.32
  6. Step 6: Final answer
    x = 11,537.62

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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.