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Finding the Fourth Proportional to 29,451.52, 44,178.70 and 9,729.64

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Solution

The fourth proportional to 29,451.52, 44,178.70 and 9,729.64 is: 14,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,451.52 : 44,178.70 = 9,729.64 : x
  2. Step 2: Convert to fraction form
    29,451.52/44,178.70 = 9,729.64/x
  3. Step 3: Cross multiply
    29,451.52x = 44,178.70 × 9,729.64
  4. Step 4: Simplify right side
    29,451.52x = 429,842,846.67
  5. Step 5: Solve for x
    x = 429,842,846.67/29,451.52
  6. Step 6: Final answer
    x = 14,594.93

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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.