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Finding the Fourth Proportional to 29,454.14, 44,182.62 and 9,732.26

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Solution

The fourth proportional to 29,454.14, 44,182.62 and 9,732.26 is: 14,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,454.14 : 44,182.62 = 9,732.26 : x
  2. Step 2: Convert to fraction form
    29,454.14/44,182.62 = 9,732.26/x
  3. Step 3: Cross multiply
    29,454.14x = 44,182.62 × 9,732.26
  4. Step 4: Simplify right side
    29,454.14x = 429,996,524.41
  5. Step 5: Solve for x
    x = 429,996,524.41/29,454.14
  6. Step 6: Final answer
    x = 14,598.85

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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.