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Finding the Fourth Proportional to 82,956.43, 114,478.41 and 45,230.68

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Solution

The fourth proportional to 82,956.43, 114,478.41 and 45,230.68 is: 62,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,956.43 : 114,478.41 = 45,230.68 : x
  2. Step 2: Convert to fraction form
    82,956.43/114,478.41 = 45,230.68/x
  3. Step 3: Cross multiply
    82,956.43x = 114,478.41 × 45,230.68
  4. Step 4: Simplify right side
    82,956.43x = 5,177,936,329.62
  5. Step 5: Solve for x
    x = 5,177,936,329.62/82,956.43
  6. Step 6: Final answer
    x = 62,417.54

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1.5x scale

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.