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Finding the Fourth Proportional to 66,150.50, 99,197.01 and 24,016.57

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Solution

The fourth proportional to 66,150.50, 99,197.01 and 24,016.57 is: 36,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,150.50 : 99,197.01 = 24,016.57 : x
  2. Step 2: Convert to fraction form
    66,150.50/99,197.01 = 24,016.57/x
  3. Step 3: Cross multiply
    66,150.50x = 99,197.01 × 24,016.57
  4. Step 4: Simplify right side
    66,150.50x = 2,382,371,686.46
  5. Step 5: Solve for x
    x = 2,382,371,686.46/66,150.50
  6. Step 6: Final answer
    x = 36,014.42

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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.