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Finding the Fourth Proportional to 66,882.51, 100,322.76 and 16,282.02

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Solution

The fourth proportional to 66,882.51, 100,322.76 and 16,282.02 is: 24,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,882.51 : 100,322.76 = 16,282.02 : x
  2. Step 2: Convert to fraction form
    66,882.51/100,322.76 = 16,282.02/x
  3. Step 3: Cross multiply
    66,882.51x = 100,322.76 × 16,282.02
  4. Step 4: Simplify right side
    66,882.51x = 1,633,457,184.78
  5. Step 5: Solve for x
    x = 1,633,457,184.78/66,882.51
  6. Step 6: Final answer
    x = 24,422.79

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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.