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Finding the Fourth Proportional to 38,392.48, 57,591 and 11,737.81

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Solution

The fourth proportional to 38,392.48, 57,591 and 11,737.81 is: 17,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,392.48 : 57,591 = 11,737.81 : x
  2. Step 2: Convert to fraction form
    38,392.48/57,591 = 11,737.81/x
  3. Step 3: Cross multiply
    38,392.48x = 57,591 × 11,737.81
  4. Step 4: Simplify right side
    38,392.48x = 675,992,287.70
  5. Step 5: Solve for x
    x = 675,992,287.70/38,392.48
  6. Step 6: Final answer
    x = 17,607.41

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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.