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Finding the Fourth Proportional to 82,023.68, 123,052.68 and 34,638.92

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Solution

The fourth proportional to 82,023.68, 123,052.68 and 34,638.92 is: 51,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,023.68 : 123,052.68 = 34,638.92 : x
  2. Step 2: Convert to fraction form
    82,023.68/123,052.68 = 34,638.92/x
  3. Step 3: Cross multiply
    82,023.68x = 123,052.68 × 34,638.92
  4. Step 4: Simplify right side
    82,023.68x = 4,262,411,323.04
  5. Step 5: Solve for x
    x = 4,262,411,323.04/82,023.68
  6. Step 6: Final answer
    x = 51,965.62

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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.