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Finding the Fourth Proportional to 31,178.68, 43,069.98 and 27,820.36

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Solution

The fourth proportional to 31,178.68, 43,069.98 and 27,820.36 is: 38,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.68 : 43,069.98 = 27,820.36 : x
  2. Step 2: Convert to fraction form
    31,178.68/43,069.98 = 27,820.36/x
  3. Step 3: Cross multiply
    31,178.68x = 43,069.98 × 27,820.36
  4. Step 4: Simplify right side
    31,178.68x = 1,198,222,348.79
  5. Step 5: Solve for x
    x = 1,198,222,348.79/31,178.68
  6. Step 6: Final answer
    x = 38,430.82

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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.