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Finding the Fourth Proportional to 66,131, 99,197.04 and 24,578

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Solution

The fourth proportional to 66,131, 99,197.04 and 24,578 is: 36,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,131 : 99,197.04 = 24,578 : x
  2. Step 2: Convert to fraction form
    66,131/99,197.04 = 24,578/x
  3. Step 3: Cross multiply
    66,131x = 99,197.04 × 24,578
  4. Step 4: Simplify right side
    66,131x = 2,438,064,849.12
  5. Step 5: Solve for x
    x = 2,438,064,849.12/66,131
  6. Step 6: Final answer
    x = 36,867.20

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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.