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Finding the Fourth Proportional to 78,081.14, 107,678.22 and 51,246.92

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Solution

The fourth proportional to 78,081.14, 107,678.22 and 51,246.92 is: 70,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,081.14 : 107,678.22 = 51,246.92 : x
  2. Step 2: Convert to fraction form
    78,081.14/107,678.22 = 51,246.92/x
  3. Step 3: Cross multiply
    78,081.14x = 107,678.22 × 51,246.92
  4. Step 4: Simplify right side
    78,081.14x = 5,518,177,126.08
  5. Step 5: Solve for x
    x = 5,518,177,126.08/78,081.14
  6. Step 6: Final answer
    x = 70,672.34

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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.