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Finding the Fourth Proportional to 75,640.41, 113,472.93 and 22,337.78

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Solution

The fourth proportional to 75,640.41, 113,472.93 and 22,337.78 is: 33,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,640.41 : 113,472.93 = 22,337.78 : x
  2. Step 2: Convert to fraction form
    75,640.41/113,472.93 = 22,337.78/x
  3. Step 3: Cross multiply
    75,640.41x = 113,472.93 × 22,337.78
  4. Step 4: Simplify right side
    75,640.41x = 2,534,733,555.01
  5. Step 5: Solve for x
    x = 2,534,733,555.01/75,640.41
  6. Step 6: Final answer
    x = 33,510.31

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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.