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Finding the Fourth Proportional to 96,433.16, 144,672.84 and 40,242.01

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Solution

The fourth proportional to 96,433.16, 144,672.84 and 40,242.01 is: 60,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,433.16 : 144,672.84 = 40,242.01 : x
  2. Step 2: Convert to fraction form
    96,433.16/144,672.84 = 40,242.01/x
  3. Step 3: Cross multiply
    96,433.16x = 144,672.84 × 40,242.01
  4. Step 4: Simplify right side
    96,433.16x = 5,821,926,235.69
  5. Step 5: Solve for x
    x = 5,821,926,235.69/96,433.16
  6. Step 6: Final answer
    x = 60,372.66

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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.