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Finding the Fourth Proportional to 83,838.90, 125,731.62 and 27,668.58

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Solution

The fourth proportional to 83,838.90, 125,731.62 and 27,668.58 is: 41,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,838.90 : 125,731.62 = 27,668.58 : x
  2. Step 2: Convert to fraction form
    83,838.90/125,731.62 = 27,668.58/x
  3. Step 3: Cross multiply
    83,838.90x = 125,731.62 × 27,668.58
  4. Step 4: Simplify right side
    83,838.90x = 3,478,815,386.50
  5. Step 5: Solve for x
    x = 3,478,815,386.50/83,838.90
  6. Step 6: Final answer
    x = 41,494.05

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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.