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Finding the Fourth Proportional to 82,129.53, 123,194.50 and 22,965.11

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Solution

The fourth proportional to 82,129.53, 123,194.50 and 22,965.11 is: 34,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,129.53 : 123,194.50 = 22,965.11 : x
  2. Step 2: Convert to fraction form
    82,129.53/123,194.50 = 22,965.11/x
  3. Step 3: Cross multiply
    82,129.53x = 123,194.50 × 22,965.11
  4. Step 4: Simplify right side
    82,129.53x = 2,829,174,570.51
  5. Step 5: Solve for x
    x = 2,829,174,570.51/82,129.53
  6. Step 6: Final answer
    x = 34,447.71

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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.