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Finding the Fourth Proportional to 138,592.76, 207,887.31 and 33,410.88

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Solution

The fourth proportional to 138,592.76, 207,887.31 and 33,410.88 is: 50,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,592.76 : 207,887.31 = 33,410.88 : x
  2. Step 2: Convert to fraction form
    138,592.76/207,887.31 = 33,410.88/x
  3. Step 3: Cross multiply
    138,592.76x = 207,887.31 × 33,410.88
  4. Step 4: Simplify right side
    138,592.76x = 6,945,697,967.93
  5. Step 5: Solve for x
    x = 6,945,697,967.93/138,592.76
  6. Step 6: Final answer
    x = 50,115.88

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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.