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Finding the Fourth Proportional to 100,082.79, 150,124.29 and 40,918.47

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Solution

The fourth proportional to 100,082.79, 150,124.29 and 40,918.47 is: 61,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,082.79 : 150,124.29 = 40,918.47 : x
  2. Step 2: Convert to fraction form
    100,082.79/150,124.29 = 40,918.47/x
  3. Step 3: Cross multiply
    100,082.79x = 150,124.29 × 40,918.47
  4. Step 4: Simplify right side
    100,082.79x = 6,142,855,847.11
  5. Step 5: Solve for x
    x = 6,142,855,847.11/100,082.79
  6. Step 6: Final answer
    x = 61,377.74

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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.