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Finding the Fourth Proportional to 57,387, 86,083.74 and 20,451

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Solution

The fourth proportional to 57,387, 86,083.74 and 20,451 is: 30,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,387 : 86,083.74 = 20,451 : x
  2. Step 2: Convert to fraction form
    57,387/86,083.74 = 20,451/x
  3. Step 3: Cross multiply
    57,387x = 86,083.74 × 20,451
  4. Step 4: Simplify right side
    57,387x = 1,760,498,566.74
  5. Step 5: Solve for x
    x = 1,760,498,566.74/57,387
  6. Step 6: Final answer
    x = 30,677.65

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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.