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Finding the Fourth Proportional to 80,312.64, 120,475.44 and 24,908.64

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Solution

The fourth proportional to 80,312.64, 120,475.44 and 24,908.64 is: 37,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,312.64 : 120,475.44 = 24,908.64 : x
  2. Step 2: Convert to fraction form
    80,312.64/120,475.44 = 24,908.64/x
  3. Step 3: Cross multiply
    80,312.64x = 120,475.44 × 24,908.64
  4. Step 4: Simplify right side
    80,312.64x = 3,000,879,363.80
  5. Step 5: Solve for x
    x = 3,000,879,363.80/80,312.64
  6. Step 6: Final answer
    x = 37,364.97

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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.