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Finding the Fourth Proportional to 34,741.74, 52,111.89 and 8,446.62

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Solution

The fourth proportional to 34,741.74, 52,111.89 and 8,446.62 is: 12,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.74 : 52,111.89 = 8,446.62 : x
  2. Step 2: Convert to fraction form
    34,741.74/52,111.89 = 8,446.62/x
  3. Step 3: Cross multiply
    34,741.74x = 52,111.89 × 8,446.62
  4. Step 4: Simplify right side
    34,741.74x = 440,169,332.31
  5. Step 5: Solve for x
    x = 440,169,332.31/34,741.74
  6. Step 6: Final answer
    x = 12,669.75

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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.