Home / 31,766.25-47,648-10,704.90

Finding the Fourth Proportional to 31,766.25, 47,648 and 10,704.90

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Solution

The fourth proportional to 31,766.25, 47,648 and 10,704.90 is: 16,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,766.25 : 47,648 = 10,704.90 : x
  2. Step 2: Convert to fraction form
    31,766.25/47,648 = 10,704.90/x
  3. Step 3: Cross multiply
    31,766.25x = 47,648 × 10,704.90
  4. Step 4: Simplify right side
    31,766.25x = 510,067,075.20
  5. Step 5: Solve for x
    x = 510,067,075.20/31,766.25
  6. Step 6: Final answer
    x = 16,056.89

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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.