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Finding the Fourth Proportional to 83,954.03, 125,930.90 and 57,578.81

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Solution

The fourth proportional to 83,954.03, 125,930.90 and 57,578.81 is: 86,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954.03 : 125,930.90 = 57,578.81 : x
  2. Step 2: Convert to fraction form
    83,954.03/125,930.90 = 57,578.81/x
  3. Step 3: Cross multiply
    83,954.03x = 125,930.90 × 57,578.81
  4. Step 4: Simplify right side
    83,954.03x = 7,250,951,193.35
  5. Step 5: Solve for x
    x = 7,250,951,193.35/83,954.03
  6. Step 6: Final answer
    x = 86,368.12

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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.