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Finding the Fourth Proportional to 29,854.12, 44,781.18 and 9,077.68

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Solution

The fourth proportional to 29,854.12, 44,781.18 and 9,077.68 is: 13,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854.12 : 44,781.18 = 9,077.68 : x
  2. Step 2: Convert to fraction form
    29,854.12/44,781.18 = 9,077.68/x
  3. Step 3: Cross multiply
    29,854.12x = 44,781.18 × 9,077.68
  4. Step 4: Simplify right side
    29,854.12x = 406,509,222.06
  5. Step 5: Solve for x
    x = 406,509,222.06/29,854.12
  6. Step 6: Final answer
    x = 13,616.52

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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.