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Finding the Fourth Proportional to 31,078.88, 46,579.40 and 24,479

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Solution

The fourth proportional to 31,078.88, 46,579.40 and 24,479 is: 36,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.88 : 46,579.40 = 24,479 : x
  2. Step 2: Convert to fraction form
    31,078.88/46,579.40 = 24,479/x
  3. Step 3: Cross multiply
    31,078.88x = 46,579.40 × 24,479
  4. Step 4: Simplify right side
    31,078.88x = 1,140,217,132.60
  5. Step 5: Solve for x
    x = 1,140,217,132.60/31,078.88
  6. Step 6: Final answer
    x = 36,687.85

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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.