Home / 31,775.46-47,647.74-9,584.70

Finding the Fourth Proportional to 31,775.46, 47,647.74 and 9,584.70

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Solution

The fourth proportional to 31,775.46, 47,647.74 and 9,584.70 is: 14,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.46 : 47,647.74 = 9,584.70 : x
  2. Step 2: Convert to fraction form
    31,775.46/47,647.74 = 9,584.70/x
  3. Step 3: Cross multiply
    31,775.46x = 47,647.74 × 9,584.70
  4. Step 4: Simplify right side
    31,775.46x = 456,689,293.58
  5. Step 5: Solve for x
    x = 456,689,293.58/31,775.46
  6. Step 6: Final answer
    x = 14,372.39

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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.