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Finding the Fourth Proportional to 74,470.82, 111,671.12 and 27,052.48

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Solution

The fourth proportional to 74,470.82, 111,671.12 and 27,052.48 is: 40,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,470.82 : 111,671.12 = 27,052.48 : x
  2. Step 2: Convert to fraction form
    74,470.82/111,671.12 = 27,052.48/x
  3. Step 3: Cross multiply
    74,470.82x = 111,671.12 × 27,052.48
  4. Step 4: Simplify right side
    74,470.82x = 3,020,980,740.38
  5. Step 5: Solve for x
    x = 3,020,980,740.38/74,470.82
  6. Step 6: Final answer
    x = 40,565.97

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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.