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Finding the Fourth Proportional to 68,539.92, 102,820.32 and 24,158.88

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Solution

The fourth proportional to 68,539.92, 102,820.32 and 24,158.88 is: 36,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,539.92 : 102,820.32 = 24,158.88 : x
  2. Step 2: Convert to fraction form
    68,539.92/102,820.32 = 24,158.88/x
  3. Step 3: Cross multiply
    68,539.92x = 102,820.32 × 24,158.88
  4. Step 4: Simplify right side
    68,539.92x = 2,484,023,772.44
  5. Step 5: Solve for x
    x = 2,484,023,772.44/68,539.92
  6. Step 6: Final answer
    x = 36,242.00

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Why These Related Problems?

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