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Finding the Fourth Proportional to 83,992.78, 125,948.16 and 36,647.88

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Solution

The fourth proportional to 83,992.78, 125,948.16 and 36,647.88 is: 54,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,992.78 : 125,948.16 = 36,647.88 : x
  2. Step 2: Convert to fraction form
    83,992.78/125,948.16 = 36,647.88/x
  3. Step 3: Cross multiply
    83,992.78x = 125,948.16 × 36,647.88
  4. Step 4: Simplify right side
    83,992.78x = 4,615,733,053.90
  5. Step 5: Solve for x
    x = 4,615,733,053.90/83,992.78
  6. Step 6: Final answer
    x = 54,953.93

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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.