Home / 31,770.71-47,656.40-9,584.27

Finding the Fourth Proportional to 31,770.71, 47,656.40 and 9,584.27

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Solution

The fourth proportional to 31,770.71, 47,656.40 and 9,584.27 is: 14,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.71 : 47,656.40 = 9,584.27 : x
  2. Step 2: Convert to fraction form
    31,770.71/47,656.40 = 9,584.27/x
  3. Step 3: Cross multiply
    31,770.71x = 47,656.40 × 9,584.27
  4. Step 4: Simplify right side
    31,770.71x = 456,752,019.31
  5. Step 5: Solve for x
    x = 456,752,019.31/31,770.71
  6. Step 6: Final answer
    x = 14,376.51

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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.