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Finding the Fourth Proportional to 82,041, 123,071.82 and 32,114.68

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Solution

The fourth proportional to 82,041, 123,071.82 and 32,114.68 is: 48,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041 : 123,071.82 = 32,114.68 : x
  2. Step 2: Convert to fraction form
    82,041/123,071.82 = 32,114.68/x
  3. Step 3: Cross multiply
    82,041x = 123,071.82 × 32,114.68
  4. Step 4: Simplify right side
    82,041x = 3,952,412,116.32
  5. Step 5: Solve for x
    x = 3,952,412,116.32/82,041
  6. Step 6: Final answer
    x = 48,176.06

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