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Finding the Fourth Proportional to 83,193.49, 124,771.89 and 24,016.30

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Solution

The fourth proportional to 83,193.49, 124,771.89 and 24,016.30 is: 36,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193.49 : 124,771.89 = 24,016.30 : x
  2. Step 2: Convert to fraction form
    83,193.49/124,771.89 = 24,016.30/x
  3. Step 3: Cross multiply
    83,193.49x = 124,771.89 × 24,016.30
  4. Step 4: Simplify right side
    83,193.49x = 2,996,559,141.81
  5. Step 5: Solve for x
    x = 2,996,559,141.81/83,193.49
  6. Step 6: Final answer
    x = 36,019.15

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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.