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Finding the Fourth Proportional to 31,984.88, 47,994.59 and 15,568.88

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Solution

The fourth proportional to 31,984.88, 47,994.59 and 15,568.88 is: 23,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.88 : 47,994.59 = 15,568.88 : x
  2. Step 2: Convert to fraction form
    31,984.88/47,994.59 = 15,568.88/x
  3. Step 3: Cross multiply
    31,984.88x = 47,994.59 × 15,568.88
  4. Step 4: Simplify right side
    31,984.88x = 747,221,811.31
  5. Step 5: Solve for x
    x = 747,221,811.31/31,984.88
  6. Step 6: Final answer
    x = 23,361.72

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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.