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Finding the Fourth Proportional to 83,881.62, 125,844.21 and 31,291.50

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Solution

The fourth proportional to 83,881.62, 125,844.21 and 31,291.50 is: 46,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,881.62 : 125,844.21 = 31,291.50 : x
  2. Step 2: Convert to fraction form
    83,881.62/125,844.21 = 31,291.50/x
  3. Step 3: Cross multiply
    83,881.62x = 125,844.21 × 31,291.50
  4. Step 4: Simplify right side
    83,881.62x = 3,937,854,097.22
  5. Step 5: Solve for x
    x = 3,937,854,097.22/83,881.62
  6. Step 6: Final answer
    x = 46,945.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.