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Finding the Fourth Proportional to 31,703.87, 43,719.38 and 23,207.38

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Solution

The fourth proportional to 31,703.87, 43,719.38 and 23,207.38 is: 32,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.87 : 43,719.38 = 23,207.38 : x
  2. Step 2: Convert to fraction form
    31,703.87/43,719.38 = 23,207.38/x
  3. Step 3: Cross multiply
    31,703.87x = 43,719.38 × 23,207.38
  4. Step 4: Simplify right side
    31,703.87x = 1,014,612,126.72
  5. Step 5: Solve for x
    x = 1,014,612,126.72/31,703.87
  6. Step 6: Final answer
    x = 32,002.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.