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Finding the Fourth Proportional to 83,920.50, 125,837.46 and 24,748.50

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Solution

The fourth proportional to 83,920.50, 125,837.46 and 24,748.50 is: 37,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,920.50 : 125,837.46 = 24,748.50 : x
  2. Step 2: Convert to fraction form
    83,920.50/125,837.46 = 24,748.50/x
  3. Step 3: Cross multiply
    83,920.50x = 125,837.46 × 24,748.50
  4. Step 4: Simplify right side
    83,920.50x = 3,114,288,378.81
  5. Step 5: Solve for x
    x = 3,114,288,378.81/83,920.50
  6. Step 6: Final answer
    x = 37,109.98

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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.