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Finding the Fourth Proportional to 38,434.50, 53,040.42 and 21,667.50

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Solution

The fourth proportional to 38,434.50, 53,040.42 and 21,667.50 is: 29,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.50 : 53,040.42 = 21,667.50 : x
  2. Step 2: Convert to fraction form
    38,434.50/53,040.42 = 21,667.50/x
  3. Step 3: Cross multiply
    38,434.50x = 53,040.42 × 21,667.50
  4. Step 4: Simplify right side
    38,434.50x = 1,149,253,300.35
  5. Step 5: Solve for x
    x = 1,149,253,300.35/38,434.50
  6. Step 6: Final answer
    x = 29,901.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.