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Finding the Fourth Proportional to 66,882.53, 100,322.78 and 16,281.93

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Solution

The fourth proportional to 66,882.53, 100,322.78 and 16,281.93 is: 24,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,882.53 : 100,322.78 = 16,281.93 : x
  2. Step 2: Convert to fraction form
    66,882.53/100,322.78 = 16,281.93/x
  3. Step 3: Cross multiply
    66,882.53x = 100,322.78 × 16,281.93
  4. Step 4: Simplify right side
    66,882.53x = 1,633,448,399.96
  5. Step 5: Solve for x
    x = 1,633,448,399.96/66,882.53
  6. Step 6: Final answer
    x = 24,422.65

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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.