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Finding the Fourth Proportional to 77,115.80, 106,388.48 and 50,248.50

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Solution

The fourth proportional to 77,115.80, 106,388.48 and 50,248.50 is: 69,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,115.80 : 106,388.48 = 50,248.50 : x
  2. Step 2: Convert to fraction form
    77,115.80/106,388.48 = 50,248.50/x
  3. Step 3: Cross multiply
    77,115.80x = 106,388.48 × 50,248.50
  4. Step 4: Simplify right side
    77,115.80x = 5,345,861,286.04
  5. Step 5: Solve for x
    x = 5,345,861,286.04/77,115.80
  6. Step 6: Final answer
    x = 69,322.52

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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.