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Finding the Fourth Proportional to 83,900.07, 125,820.14 and 27,729.81

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Solution

The fourth proportional to 83,900.07, 125,820.14 and 27,729.81 is: 41,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,900.07 : 125,820.14 = 27,729.81 : x
  2. Step 2: Convert to fraction form
    83,900.07/125,820.14 = 27,729.81/x
  3. Step 3: Cross multiply
    83,900.07x = 125,820.14 × 27,729.81
  4. Step 4: Simplify right side
    83,900.07x = 3,488,968,437.72
  5. Step 5: Solve for x
    x = 3,488,968,437.72/83,900.07
  6. Step 6: Final answer
    x = 41,584.81

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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.