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Finding the Fourth Proportional to 82,027.68, 123,058.68 and 34,642.92

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Solution

The fourth proportional to 82,027.68, 123,058.68 and 34,642.92 is: 51,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027.68 : 123,058.68 = 34,642.92 : x
  2. Step 2: Convert to fraction form
    82,027.68/123,058.68 = 34,642.92/x
  3. Step 3: Cross multiply
    82,027.68x = 123,058.68 × 34,642.92
  4. Step 4: Simplify right side
    82,027.68x = 4,263,112,006.55
  5. Step 5: Solve for x
    x = 4,263,112,006.55/82,027.68
  6. Step 6: Final answer
    x = 51,971.63

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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.