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Finding the Fourth Proportional to 83,193.29, 114,830.26 and 49,213.60

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Solution

The fourth proportional to 83,193.29, 114,830.26 and 49,213.60 is: 67,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193.29 : 114,830.26 = 49,213.60 : x
  2. Step 2: Convert to fraction form
    83,193.29/114,830.26 = 49,213.60/x
  3. Step 3: Cross multiply
    83,193.29x = 114,830.26 × 49,213.60
  4. Step 4: Simplify right side
    83,193.29x = 5,651,210,565.56
  5. Step 5: Solve for x
    x = 5,651,210,565.56/83,193.29
  6. Step 6: Final answer
    x = 67,928.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.