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Finding the Fourth Proportional to 83,638.26, 115,421.22 and 47,829.78

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Solution

The fourth proportional to 83,638.26, 115,421.22 and 47,829.78 is: 66,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,638.26 : 115,421.22 = 47,829.78 : x
  2. Step 2: Convert to fraction form
    83,638.26/115,421.22 = 47,829.78/x
  3. Step 3: Cross multiply
    83,638.26x = 115,421.22 × 47,829.78
  4. Step 4: Simplify right side
    83,638.26x = 5,520,571,559.93
  5. Step 5: Solve for x
    x = 5,520,571,559.93/83,638.26
  6. Step 6: Final answer
    x = 66,005.34

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