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Finding the Fourth Proportional to 68,180.32, 102,225.36 and 32,646.88

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Solution

The fourth proportional to 68,180.32, 102,225.36 and 32,646.88 is: 48,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,180.32 : 102,225.36 = 32,646.88 : x
  2. Step 2: Convert to fraction form
    68,180.32/102,225.36 = 32,646.88/x
  3. Step 3: Cross multiply
    68,180.32x = 102,225.36 × 32,646.88
  4. Step 4: Simplify right side
    68,180.32x = 3,337,339,060.88
  5. Step 5: Solve for x
    x = 3,337,339,060.88/68,180.32
  6. Step 6: Final answer
    x = 48,948.72

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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.