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Finding the Fourth Proportional to 86,023.25, 129,034.87 and 50,538.77

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Solution

The fourth proportional to 86,023.25, 129,034.87 and 50,538.77 is: 75,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,023.25 : 129,034.87 = 50,538.77 : x
  2. Step 2: Convert to fraction form
    86,023.25/129,034.87 = 50,538.77/x
  3. Step 3: Cross multiply
    86,023.25x = 129,034.87 × 50,538.77
  4. Step 4: Simplify right side
    86,023.25x = 6,521,263,616.91
  5. Step 5: Solve for x
    x = 6,521,263,616.91/86,023.25
  6. Step 6: Final answer
    x = 75,808.15

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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.