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Finding the Fourth Proportional to 29,464.29, 44,167.56 and 9,729.66

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Solution

The fourth proportional to 29,464.29, 44,167.56 and 9,729.66 is: 14,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464.29 : 44,167.56 = 9,729.66 : x
  2. Step 2: Convert to fraction form
    29,464.29/44,167.56 = 9,729.66/x
  3. Step 3: Cross multiply
    29,464.29x = 44,167.56 × 9,729.66
  4. Step 4: Simplify right side
    29,464.29x = 429,735,341.83
  5. Step 5: Solve for x
    x = 429,735,341.83/29,464.29
  6. Step 6: Final answer
    x = 14,584.95

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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.