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Finding the Fourth Proportional to 53,414.40, 80,081.28 and 32,350.08

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Solution

The fourth proportional to 53,414.40, 80,081.28 and 32,350.08 is: 48,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,414.40 : 80,081.28 = 32,350.08 : x
  2. Step 2: Convert to fraction form
    53,414.40/80,081.28 = 32,350.08/x
  3. Step 3: Cross multiply
    53,414.40x = 80,081.28 × 32,350.08
  4. Step 4: Simplify right side
    53,414.40x = 2,590,635,814.50
  5. Step 5: Solve for x
    x = 2,590,635,814.50/53,414.40
  6. Step 6: Final answer
    x = 48,500.70

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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.