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Finding the Fourth Proportional to 82,588, 123,886.68 and 23,419

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Solution

The fourth proportional to 82,588, 123,886.68 and 23,419 is: 35,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,588 : 123,886.68 = 23,419 : x
  2. Step 2: Convert to fraction form
    82,588/123,886.68 = 23,419/x
  3. Step 3: Cross multiply
    82,588x = 123,886.68 × 23,419
  4. Step 4: Simplify right side
    82,588x = 2,901,302,158.92
  5. Step 5: Solve for x
    x = 2,901,302,158.92/82,588
  6. Step 6: Final answer
    x = 35,129.83

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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.