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Finding the Fourth Proportional to 78,452.80, 108,266.12 and 42,642.88

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Solution

The fourth proportional to 78,452.80, 108,266.12 and 42,642.88 is: 58,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.80 : 108,266.12 = 42,642.88 : x
  2. Step 2: Convert to fraction form
    78,452.80/108,266.12 = 42,642.88/x
  3. Step 3: Cross multiply
    78,452.80x = 108,266.12 × 42,642.88
  4. Step 4: Simplify right side
    78,452.80x = 4,616,779,163.23
  5. Step 5: Solve for x
    x = 4,616,779,163.23/78,452.80
  6. Step 6: Final answer
    x = 58,847.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.