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Finding the Fourth Proportional to 65,471.39, 90,348.12 and 40,020.38

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Solution

The fourth proportional to 65,471.39, 90,348.12 and 40,020.38 is: 55,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,471.39 : 90,348.12 = 40,020.38 : x
  2. Step 2: Convert to fraction form
    65,471.39/90,348.12 = 40,020.38/x
  3. Step 3: Cross multiply
    65,471.39x = 90,348.12 × 40,020.38
  4. Step 4: Simplify right side
    65,471.39x = 3,615,766,094.69
  5. Step 5: Solve for x
    x = 3,615,766,094.69/65,471.39
  6. Step 6: Final answer
    x = 55,226.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.