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Finding the Fourth Proportional to 83,961.90, 125,987.13 and 37,219.50

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Solution

The fourth proportional to 83,961.90, 125,987.13 and 37,219.50 is: 55,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,961.90 : 125,987.13 = 37,219.50 : x
  2. Step 2: Convert to fraction form
    83,961.90/125,987.13 = 37,219.50/x
  3. Step 3: Cross multiply
    83,961.90x = 125,987.13 × 37,219.50
  4. Step 4: Simplify right side
    83,961.90x = 4,689,177,985.04
  5. Step 5: Solve for x
    x = 4,689,177,985.04/83,961.90
  6. Step 6: Final answer
    x = 55,848.88

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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.