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Finding the Fourth Proportional to 31,998.04, 47,983.08 and 17,001.90

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Solution

The fourth proportional to 31,998.04, 47,983.08 and 17,001.90 is: 25,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.04 : 47,983.08 = 17,001.90 : x
  2. Step 2: Convert to fraction form
    31,998.04/47,983.08 = 17,001.90/x
  3. Step 3: Cross multiply
    31,998.04x = 47,983.08 × 17,001.90
  4. Step 4: Simplify right side
    31,998.04x = 815,803,591.61
  5. Step 5: Solve for x
    x = 815,803,591.61/31,998.04
  6. Step 6: Final answer
    x = 25,495.43

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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.