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Finding the Fourth Proportional to 70,902.32, 106,327 and 23,508.72

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Solution

The fourth proportional to 70,902.32, 106,327 and 23,508.72 is: 35,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902.32 : 106,327 = 23,508.72 : x
  2. Step 2: Convert to fraction form
    70,902.32/106,327 = 23,508.72/x
  3. Step 3: Cross multiply
    70,902.32x = 106,327 × 23,508.72
  4. Step 4: Simplify right side
    70,902.32x = 2,499,611,671.44
  5. Step 5: Solve for x
    x = 2,499,611,671.44/70,902.32
  6. Step 6: Final answer
    x = 35,254.30

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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.