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Finding the Fourth Proportional to 75,144.34, 103,698.03 and 41,152.56

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Solution

The fourth proportional to 75,144.34, 103,698.03 and 41,152.56 is: 56,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,144.34 : 103,698.03 = 41,152.56 : x
  2. Step 2: Convert to fraction form
    75,144.34/103,698.03 = 41,152.56/x
  3. Step 3: Cross multiply
    75,144.34x = 103,698.03 × 41,152.56
  4. Step 4: Simplify right side
    75,144.34x = 4,267,439,401.46
  5. Step 5: Solve for x
    x = 4,267,439,401.46/75,144.34
  6. Step 6: Final answer
    x = 56,789.90

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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.