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Finding the Fourth Proportional to 82,956.12, 114,480.06 and 45,230.38

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Solution

The fourth proportional to 82,956.12, 114,480.06 and 45,230.38 is: 62,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,956.12 : 114,480.06 = 45,230.38 : x
  2. Step 2: Convert to fraction form
    82,956.12/114,480.06 = 45,230.38/x
  3. Step 3: Cross multiply
    82,956.12x = 114,480.06 × 45,230.38
  4. Step 4: Simplify right side
    82,956.12x = 5,177,976,616.22
  5. Step 5: Solve for x
    x = 5,177,976,616.22/82,956.12
  6. Step 6: Final answer
    x = 62,418.26

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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.