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Finding the Fourth Proportional to 82,497.36, 123,768.36 and 38,087.76

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Solution

The fourth proportional to 82,497.36, 123,768.36 and 38,087.76 is: 57,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,497.36 : 123,768.36 = 38,087.76 : x
  2. Step 2: Convert to fraction form
    82,497.36/123,768.36 = 38,087.76/x
  3. Step 3: Cross multiply
    82,497.36x = 123,768.36 × 38,087.76
  4. Step 4: Simplify right side
    82,497.36x = 4,714,059,591.27
  5. Step 5: Solve for x
    x = 4,714,059,591.27/82,497.36
  6. Step 6: Final answer
    x = 57,141.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.