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Finding the Fourth Proportional to 31,958.51, 47,939.99 and 9,770.18

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Solution

The fourth proportional to 31,958.51, 47,939.99 and 9,770.18 is: 14,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,958.51 : 47,939.99 = 9,770.18 : x
  2. Step 2: Convert to fraction form
    31,958.51/47,939.99 = 9,770.18/x
  3. Step 3: Cross multiply
    31,958.51x = 47,939.99 × 9,770.18
  4. Step 4: Simplify right side
    31,958.51x = 468,382,042.95
  5. Step 5: Solve for x
    x = 468,382,042.95/31,958.51
  6. Step 6: Final answer
    x = 14,655.94

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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.