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Finding the Fourth Proportional to 66,763.81, 100,159.13 and 24,644.16

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Solution

The fourth proportional to 66,763.81, 100,159.13 and 24,644.16 is: 36,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,763.81 : 100,159.13 = 24,644.16 : x
  2. Step 2: Convert to fraction form
    66,763.81/100,159.13 = 24,644.16/x
  3. Step 3: Cross multiply
    66,763.81x = 100,159.13 × 24,644.16
  4. Step 4: Simplify right side
    66,763.81x = 2,468,337,510.73
  5. Step 5: Solve for x
    x = 2,468,337,510.73/66,763.81
  6. Step 6: Final answer
    x = 36,971.19

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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.