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Finding the Fourth Proportional to 38,193.24, 52,707.24 and 21,198.58

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Solution

The fourth proportional to 38,193.24, 52,707.24 and 21,198.58 is: 29,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.24 : 52,707.24 = 21,198.58 : x
  2. Step 2: Convert to fraction form
    38,193.24/52,707.24 = 21,198.58/x
  3. Step 3: Cross multiply
    38,193.24x = 52,707.24 × 21,198.58
  4. Step 4: Simplify right side
    38,193.24x = 1,117,318,643.72
  5. Step 5: Solve for x
    x = 1,117,318,643.72/38,193.24
  6. Step 6: Final answer
    x = 29,254.36

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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.