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Finding the Fourth Proportional to 40,761.38, 61,140.63 and 11,178.74

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Solution

The fourth proportional to 40,761.38, 61,140.63 and 11,178.74 is: 16,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,761.38 : 61,140.63 = 11,178.74 : x
  2. Step 2: Convert to fraction form
    40,761.38/61,140.63 = 11,178.74/x
  3. Step 3: Cross multiply
    40,761.38x = 61,140.63 × 11,178.74
  4. Step 4: Simplify right side
    40,761.38x = 683,475,206.21
  5. Step 5: Solve for x
    x = 683,475,206.21/40,761.38
  6. Step 6: Final answer
    x = 16,767.72

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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.