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Finding the Fourth Proportional to 78,544, 117,839.20 and 45,287.92

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Solution

The fourth proportional to 78,544, 117,839.20 and 45,287.92 is: 67,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,544 : 117,839.20 = 45,287.92 : x
  2. Step 2: Convert to fraction form
    78,544/117,839.20 = 45,287.92/x
  3. Step 3: Cross multiply
    78,544x = 117,839.20 × 45,287.92
  4. Step 4: Simplify right side
    78,544x = 5,336,692,262.46
  5. Step 5: Solve for x
    x = 5,336,692,262.46/78,544
  6. Step 6: Final answer
    x = 67,945.26

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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.