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Finding the Fourth Proportional to 34,741.62, 52,115.50 and 9,781.88

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Solution

The fourth proportional to 34,741.62, 52,115.50 and 9,781.88 is: 14,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.62 : 52,115.50 = 9,781.88 : x
  2. Step 2: Convert to fraction form
    34,741.62/52,115.50 = 9,781.88/x
  3. Step 3: Cross multiply
    34,741.62x = 52,115.50 × 9,781.88
  4. Step 4: Simplify right side
    34,741.62x = 509,787,567.14
  5. Step 5: Solve for x
    x = 509,787,567.14/34,741.62
  6. Step 6: Final answer
    x = 14,673.69

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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.