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Finding the Fourth Proportional to 78,638.85, 108,522.32 and 42,829.02

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Solution

The fourth proportional to 78,638.85, 108,522.32 and 42,829.02 is: 59,104.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,638.85 : 108,522.32 = 42,829.02 : x
  2. Step 2: Convert to fraction form
    78,638.85/108,522.32 = 42,829.02/x
  3. Step 3: Cross multiply
    78,638.85x = 108,522.32 × 42,829.02
  4. Step 4: Simplify right side
    78,638.85x = 4,647,904,399.58
  5. Step 5: Solve for x
    x = 4,647,904,399.58/78,638.85
  6. Step 6: Final answer
    x = 59,104.43

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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.