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Finding the Fourth Proportional to 78,081, 117,124.74 and 22,677

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Solution

The fourth proportional to 78,081, 117,124.74 and 22,677 is: 34,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,081 : 117,124.74 = 22,677 : x
  2. Step 2: Convert to fraction form
    78,081/117,124.74 = 22,677/x
  3. Step 3: Cross multiply
    78,081x = 117,124.74 × 22,677
  4. Step 4: Simplify right side
    78,081x = 2,656,037,728.98
  5. Step 5: Solve for x
    x = 2,656,037,728.98/78,081
  6. Step 6: Final answer
    x = 34,016.44

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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.