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Finding the Fourth Proportional to 31,874.84, 48,002.02 and 27,764.50

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Solution

The fourth proportional to 31,874.84, 48,002.02 and 27,764.50 is: 41,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.84 : 48,002.02 = 27,764.50 : x
  2. Step 2: Convert to fraction form
    31,874.84/48,002.02 = 27,764.50/x
  3. Step 3: Cross multiply
    31,874.84x = 48,002.02 × 27,764.50
  4. Step 4: Simplify right side
    31,874.84x = 1,332,751,849.87
  5. Step 5: Solve for x
    x = 1,332,751,849.87/31,874.84
  6. Step 6: Final answer
    x = 41,812.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.