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Finding the Fourth Proportional to 38,193.75, 52,707.74 and 21,427.11

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Solution

The fourth proportional to 38,193.75, 52,707.74 and 21,427.11 is: 29,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.75 : 52,707.74 = 21,427.11 : x
  2. Step 2: Convert to fraction form
    38,193.75/52,707.74 = 21,427.11/x
  3. Step 3: Cross multiply
    38,193.75x = 52,707.74 × 21,427.11
  4. Step 4: Simplify right side
    38,193.75x = 1,129,374,542.83
  5. Step 5: Solve for x
    x = 1,129,374,542.83/38,193.75
  6. Step 6: Final answer
    x = 29,569.62

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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.