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Finding the Fourth Proportional to 100,506.59, 150,761.93 and 41,334.57

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Solution

The fourth proportional to 100,506.59, 150,761.93 and 41,334.57 is: 62,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,506.59 : 150,761.93 = 41,334.57 : x
  2. Step 2: Convert to fraction form
    100,506.59/150,761.93 = 41,334.57/x
  3. Step 3: Cross multiply
    100,506.59x = 150,761.93 × 41,334.57
  4. Step 4: Simplify right side
    100,506.59x = 6,231,679,342.25
  5. Step 5: Solve for x
    x = 6,231,679,342.25/100,506.59
  6. Step 6: Final answer
    x = 62,002.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.