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Finding the Fourth Proportional to 83,230.29, 114,857.28 and 45,504.54

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Solution

The fourth proportional to 83,230.29, 114,857.28 and 45,504.54 is: 62,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230.29 : 114,857.28 = 45,504.54 : x
  2. Step 2: Convert to fraction form
    83,230.29/114,857.28 = 45,504.54/x
  3. Step 3: Cross multiply
    83,230.29x = 114,857.28 × 45,504.54
  4. Step 4: Simplify right side
    83,230.29x = 5,226,527,692.05
  5. Step 5: Solve for x
    x = 5,226,527,692.05/83,230.29
  6. Step 6: Final answer
    x = 62,795.98

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Why These Related Problems?

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