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Finding the Fourth Proportional to 82,164.96, 123,250.53 and 22,999.11

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Solution

The fourth proportional to 82,164.96, 123,250.53 and 22,999.11 is: 34,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164.96 : 123,250.53 = 22,999.11 : x
  2. Step 2: Convert to fraction form
    82,164.96/123,250.53 = 22,999.11/x
  3. Step 3: Cross multiply
    82,164.96x = 123,250.53 × 22,999.11
  4. Step 4: Simplify right side
    82,164.96x = 2,834,652,497.03
  5. Step 5: Solve for x
    x = 2,834,652,497.03/82,164.96
  6. Step 6: Final answer
    x = 34,499.53

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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.