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Finding the Fourth Proportional to 31,677, 47,482.20 and 10,611.84

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Solution

The fourth proportional to 31,677, 47,482.20 and 10,611.84 is: 15,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677 : 47,482.20 = 10,611.84 : x
  2. Step 2: Convert to fraction form
    31,677/47,482.20 = 10,611.84/x
  3. Step 3: Cross multiply
    31,677x = 47,482.20 × 10,611.84
  4. Step 4: Simplify right side
    31,677x = 503,873,509.25
  5. Step 5: Solve for x
    x = 503,873,509.25/31,677
  6. Step 6: Final answer
    x = 15,906.60

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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.