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Finding the Fourth Proportional to 83,503.76, 115,230.30 and 49,515.50

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Solution

The fourth proportional to 83,503.76, 115,230.30 and 49,515.50 is: 68,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503.76 : 115,230.30 = 49,515.50 : x
  2. Step 2: Convert to fraction form
    83,503.76/115,230.30 = 49,515.50/x
  3. Step 3: Cross multiply
    83,503.76x = 115,230.30 × 49,515.50
  4. Step 4: Simplify right side
    83,503.76x = 5,705,686,022.04
  5. Step 5: Solve for x
    x = 5,705,686,022.04/83,503.76
  6. Step 6: Final answer
    x = 68,328.49

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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.