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Finding the Fourth Proportional to 83,827, 115,612.14 and 50,269.24

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Solution

The fourth proportional to 83,827, 115,612.14 and 50,269.24 is: 69,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,827 : 115,612.14 = 50,269.24 : x
  2. Step 2: Convert to fraction form
    83,827/115,612.14 = 50,269.24/x
  3. Step 3: Cross multiply
    83,827x = 115,612.14 × 50,269.24
  4. Step 4: Simplify right side
    83,827x = 5,811,734,412.57
  5. Step 5: Solve for x
    x = 5,811,734,412.57/83,827
  6. Step 6: Final answer
    x = 69,330.10

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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.