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Finding the Fourth Proportional to 62,232.26, 85,887 and 38,358.32

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Solution

The fourth proportional to 62,232.26, 85,887 and 38,358.32 is: 52,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,232.26 : 85,887 = 38,358.32 : x
  2. Step 2: Convert to fraction form
    62,232.26/85,887 = 38,358.32/x
  3. Step 3: Cross multiply
    62,232.26x = 85,887 × 38,358.32
  4. Step 4: Simplify right side
    62,232.26x = 3,294,481,029.84
  5. Step 5: Solve for x
    x = 3,294,481,029.84/62,232.26
  6. Step 6: Final answer
    x = 52,938.48

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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.