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Finding the Fourth Proportional to 41,046.68, 61,569.10 and 11,463.84

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Solution

The fourth proportional to 41,046.68, 61,569.10 and 11,463.84 is: 17,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,046.68 : 61,569.10 = 11,463.84 : x
  2. Step 2: Convert to fraction form
    41,046.68/61,569.10 = 11,463.84/x
  3. Step 3: Cross multiply
    41,046.68x = 61,569.10 × 11,463.84
  4. Step 4: Simplify right side
    41,046.68x = 705,818,311.34
  5. Step 5: Solve for x
    x = 705,818,311.34/41,046.68
  6. Step 6: Final answer
    x = 17,195.50

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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.