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Finding the Fourth Proportional to 31,996.52, 47,994.32 and 14,454.08

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Solution

The fourth proportional to 31,996.52, 47,994.32 and 14,454.08 is: 21,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.52 : 47,994.32 = 14,454.08 : x
  2. Step 2: Convert to fraction form
    31,996.52/47,994.32 = 14,454.08/x
  3. Step 3: Cross multiply
    31,996.52x = 47,994.32 × 14,454.08
  4. Step 4: Simplify right side
    31,996.52x = 693,713,740.83
  5. Step 5: Solve for x
    x = 693,713,740.83/31,996.52
  6. Step 6: Final answer
    x = 21,680.91

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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.