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Finding the Fourth Proportional to 49,052.59, 67,692.71 and 27,831.80

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Solution

The fourth proportional to 49,052.59, 67,692.71 and 27,831.80 is: 38,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,052.59 : 67,692.71 = 27,831.80 : x
  2. Step 2: Convert to fraction form
    49,052.59/67,692.71 = 27,831.80/x
  3. Step 3: Cross multiply
    49,052.59x = 67,692.71 × 27,831.80
  4. Step 4: Simplify right side
    49,052.59x = 1,884,010,204.99
  5. Step 5: Solve for x
    x = 1,884,010,204.99/49,052.59
  6. Step 6: Final answer
    x = 38,407.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.