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Finding the Fourth Proportional to 74,471.76, 102,771.72 and 40,480.31

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Solution

The fourth proportional to 74,471.76, 102,771.72 and 40,480.31 is: 55,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,471.76 : 102,771.72 = 40,480.31 : x
  2. Step 2: Convert to fraction form
    74,471.76/102,771.72 = 40,480.31/x
  3. Step 3: Cross multiply
    74,471.76x = 102,771.72 × 40,480.31
  4. Step 4: Simplify right side
    74,471.76x = 4,160,231,341.76
  5. Step 5: Solve for x
    x = 4,160,231,341.76/74,471.76
  6. Step 6: Final answer
    x = 55,863.21

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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.