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Finding the Fourth Proportional to 31,700.40, 47,553.03 and 9,512.16

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Solution

The fourth proportional to 31,700.40, 47,553.03 and 9,512.16 is: 14,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.40 : 47,553.03 = 9,512.16 : x
  2. Step 2: Convert to fraction form
    31,700.40/47,553.03 = 9,512.16/x
  3. Step 3: Cross multiply
    31,700.40x = 47,553.03 × 9,512.16
  4. Step 4: Simplify right side
    31,700.40x = 452,332,029.84
  5. Step 5: Solve for x
    x = 452,332,029.84/31,700.40
  6. Step 6: Final answer
    x = 14,268.97

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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.