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Finding the Fourth Proportional to 77,150.34, 106,513.92 and 50,339.34

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Solution

The fourth proportional to 77,150.34, 106,513.92 and 50,339.34 is: 69,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,150.34 : 106,513.92 = 50,339.34 : x
  2. Step 2: Convert to fraction form
    77,150.34/106,513.92 = 50,339.34/x
  3. Step 3: Cross multiply
    77,150.34x = 106,513.92 × 50,339.34
  4. Step 4: Simplify right side
    77,150.34x = 5,361,840,433.61
  5. Step 5: Solve for x
    x = 5,361,840,433.61/77,150.34
  6. Step 6: Final answer
    x = 69,498.60

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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.