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Finding the Fourth Proportional to 78,592.25, 117,822.23 and 34,185.55

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Solution

The fourth proportional to 78,592.25, 117,822.23 and 34,185.55 is: 51,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592.25 : 117,822.23 = 34,185.55 : x
  2. Step 2: Convert to fraction form
    78,592.25/117,822.23 = 34,185.55/x
  3. Step 3: Cross multiply
    78,592.25x = 117,822.23 × 34,185.55
  4. Step 4: Simplify right side
    78,592.25x = 4,027,817,734.78
  5. Step 5: Solve for x
    x = 4,027,817,734.78/78,592.25
  6. Step 6: Final answer
    x = 51,249.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.