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Finding the Fourth Proportional to 43,882.30, 65,833.14 and 20,495.98

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Solution

The fourth proportional to 43,882.30, 65,833.14 and 20,495.98 is: 30,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,882.30 : 65,833.14 = 20,495.98 : x
  2. Step 2: Convert to fraction form
    43,882.30/65,833.14 = 20,495.98/x
  3. Step 3: Cross multiply
    43,882.30x = 65,833.14 × 20,495.98
  4. Step 4: Simplify right side
    43,882.30x = 1,349,314,720.78
  5. Step 5: Solve for x
    x = 1,349,314,720.78/43,882.30
  6. Step 6: Final answer
    x = 30,748.50

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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.