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Finding the Fourth Proportional to 31,103.76, 46,669.44 and 16,309.20

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Solution

The fourth proportional to 31,103.76, 46,669.44 and 16,309.20 is: 24,471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.76 : 46,669.44 = 16,309.20 : x
  2. Step 2: Convert to fraction form
    31,103.76/46,669.44 = 16,309.20/x
  3. Step 3: Cross multiply
    31,103.76x = 46,669.44 × 16,309.20
  4. Step 4: Simplify right side
    31,103.76x = 761,141,230.85
  5. Step 5: Solve for x
    x = 761,141,230.85/31,103.76
  6. Step 6: Final answer
    x = 24,471.04

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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.