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Finding the Fourth Proportional to 29,732.98, 44,599.79 and 8,956.66

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Solution

The fourth proportional to 29,732.98, 44,599.79 and 8,956.66 is: 13,435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732.98 : 44,599.79 = 8,956.66 : x
  2. Step 2: Convert to fraction form
    29,732.98/44,599.79 = 8,956.66/x
  3. Step 3: Cross multiply
    29,732.98x = 44,599.79 × 8,956.66
  4. Step 4: Simplify right side
    29,732.98x = 399,465,155.10
  5. Step 5: Solve for x
    x = 399,465,155.10/29,732.98
  6. Step 6: Final answer
    x = 13,435.09

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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.