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Finding the Fourth Proportional to 76,478.60, 114,734.10 and 23,166.20

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Solution

The fourth proportional to 76,478.60, 114,734.10 and 23,166.20 is: 34,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.60 : 114,734.10 = 23,166.20 : x
  2. Step 2: Convert to fraction form
    76,478.60/114,734.10 = 23,166.20/x
  3. Step 3: Cross multiply
    76,478.60x = 114,734.10 × 23,166.20
  4. Step 4: Simplify right side
    76,478.60x = 2,657,953,107.42
  5. Step 5: Solve for x
    x = 2,657,953,107.42/76,478.60
  6. Step 6: Final answer
    x = 34,754.21

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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.