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Finding the Fourth Proportional to 31,996.52, 47,994.80 and 16,404.20

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Solution

The fourth proportional to 31,996.52, 47,994.80 and 16,404.20 is: 24,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.52 : 47,994.80 = 16,404.20 : x
  2. Step 2: Convert to fraction form
    31,996.52/47,994.80 = 16,404.20/x
  3. Step 3: Cross multiply
    31,996.52x = 47,994.80 × 16,404.20
  4. Step 4: Simplify right side
    31,996.52x = 787,316,298.16
  5. Step 5: Solve for x
    x = 787,316,298.16/31,996.52
  6. Step 6: Final answer
    x = 24,606.31

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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.