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Finding the Fourth Proportional to 70,748.93, 106,109.84 and 27,471.86

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Solution

The fourth proportional to 70,748.93, 106,109.84 and 27,471.86 is: 41,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,748.93 : 106,109.84 = 27,471.86 : x
  2. Step 2: Convert to fraction form
    70,748.93/106,109.84 = 27,471.86/x
  3. Step 3: Cross multiply
    70,748.93x = 106,109.84 × 27,471.86
  4. Step 4: Simplify right side
    70,748.93x = 2,915,034,001.19
  5. Step 5: Solve for x
    x = 2,915,034,001.19/70,748.93
  6. Step 6: Final answer
    x = 41,202.52

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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.