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Finding the Fourth Proportional to 31,954.50, 47,939.55 and 10,066.50

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Solution

The fourth proportional to 31,954.50, 47,939.55 and 10,066.50 is: 15,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.50 : 47,939.55 = 10,066.50 : x
  2. Step 2: Convert to fraction form
    31,954.50/47,939.55 = 10,066.50/x
  3. Step 3: Cross multiply
    31,954.50x = 47,939.55 × 10,066.50
  4. Step 4: Simplify right side
    31,954.50x = 482,583,480.08
  5. Step 5: Solve for x
    x = 482,583,480.08/31,954.50
  6. Step 6: Final answer
    x = 15,102.21

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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.