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Finding the Fourth Proportional to 82,352.88, 123,529.59 and 20,023.38

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Solution

The fourth proportional to 82,352.88, 123,529.59 and 20,023.38 is: 30,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,352.88 : 123,529.59 = 20,023.38 : x
  2. Step 2: Convert to fraction form
    82,352.88/123,529.59 = 20,023.38/x
  3. Step 3: Cross multiply
    82,352.88x = 123,529.59 × 20,023.38
  4. Step 4: Simplify right side
    82,352.88x = 2,473,479,921.81
  5. Step 5: Solve for x
    x = 2,473,479,921.81/82,352.88
  6. Step 6: Final answer
    x = 30,035.14

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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.