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Finding the Fourth Proportional to 38,128.50, 57,196.71 and 10,426.50

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Solution

The fourth proportional to 38,128.50, 57,196.71 and 10,426.50 is: 15,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,128.50 : 57,196.71 = 10,426.50 : x
  2. Step 2: Convert to fraction form
    38,128.50/57,196.71 = 10,426.50/x
  3. Step 3: Cross multiply
    38,128.50x = 57,196.71 × 10,426.50
  4. Step 4: Simplify right side
    38,128.50x = 596,361,496.82
  5. Step 5: Solve for x
    x = 596,361,496.82/38,128.50
  6. Step 6: Final answer
    x = 15,640.83

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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.