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Finding the Fourth Proportional to 129,064.32, 193,522 and 50,086.24

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Solution

The fourth proportional to 129,064.32, 193,522 and 50,086.24 is: 75,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,064.32 : 193,522 = 50,086.24 : x
  2. Step 2: Convert to fraction form
    129,064.32/193,522 = 50,086.24/x
  3. Step 3: Cross multiply
    129,064.32x = 193,522 × 50,086.24
  4. Step 4: Simplify right side
    129,064.32x = 9,692,789,337.28
  5. Step 5: Solve for x
    x = 9,692,789,337.28/129,064.32
  6. Step 6: Final answer
    x = 75,100.46

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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.