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Finding the Fourth Proportional to 82,768.62, 114,212.78 and 46,461.74

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Solution

The fourth proportional to 82,768.62, 114,212.78 and 46,461.74 is: 64,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768.62 : 114,212.78 = 46,461.74 : x
  2. Step 2: Convert to fraction form
    82,768.62/114,212.78 = 46,461.74/x
  3. Step 3: Cross multiply
    82,768.62x = 114,212.78 × 46,461.74
  4. Step 4: Simplify right side
    82,768.62x = 5,306,524,489.04
  5. Step 5: Solve for x
    x = 5,306,524,489.04/82,768.62
  6. Step 6: Final answer
    x = 64,112.76

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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.