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Finding the Fourth Proportional to 47,920.38, 71,826.82 and 16,300.92

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Solution

The fourth proportional to 47,920.38, 71,826.82 and 16,300.92 is: 24,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,920.38 : 71,826.82 = 16,300.92 : x
  2. Step 2: Convert to fraction form
    47,920.38/71,826.82 = 16,300.92/x
  3. Step 3: Cross multiply
    47,920.38x = 71,826.82 × 16,300.92
  4. Step 4: Simplify right side
    47,920.38x = 1,170,843,246.67
  5. Step 5: Solve for x
    x = 1,170,843,246.67/47,920.38
  6. Step 6: Final answer
    x = 24,433.10

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1.5x scale

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.