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Finding the Fourth Proportional to 51,571.32, 77,366.70 and 36,743.46

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Solution

The fourth proportional to 51,571.32, 77,366.70 and 36,743.46 is: 55,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,571.32 : 77,366.70 = 36,743.46 : x
  2. Step 2: Convert to fraction form
    51,571.32/77,366.70 = 36,743.46/x
  3. Step 3: Cross multiply
    51,571.32x = 77,366.70 × 36,743.46
  4. Step 4: Simplify right side
    51,571.32x = 2,842,720,246.78
  5. Step 5: Solve for x
    x = 2,842,720,246.78/51,571.32
  6. Step 6: Final answer
    x = 55,122.12

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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.