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Finding the Fourth Proportional to 84,034.86, 126,071.87 and 27,870.86

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Solution

The fourth proportional to 84,034.86, 126,071.87 and 27,870.86 is: 41,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034.86 : 126,071.87 = 27,870.86 : x
  2. Step 2: Convert to fraction form
    84,034.86/126,071.87 = 27,870.86/x
  3. Step 3: Cross multiply
    84,034.86x = 126,071.87 × 27,870.86
  4. Step 4: Simplify right side
    84,034.86x = 3,513,731,438.71
  5. Step 5: Solve for x
    x = 3,513,731,438.71/84,034.86
  6. Step 6: Final answer
    x = 41,812.78

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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.