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Finding the Fourth Proportional to 71,498.50, 107,178.01 and 34,048.56

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Solution

The fourth proportional to 71,498.50, 107,178.01 and 34,048.56 is: 51,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,498.50 : 107,178.01 = 34,048.56 : x
  2. Step 2: Convert to fraction form
    71,498.50/107,178.01 = 34,048.56/x
  3. Step 3: Cross multiply
    71,498.50x = 107,178.01 × 34,048.56
  4. Step 4: Simplify right side
    71,498.50x = 3,649,256,904.17
  5. Step 5: Solve for x
    x = 3,649,256,904.17/71,498.50
  6. Step 6: Final answer
    x = 51,039.63

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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.