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Finding the Fourth Proportional to 38,198.34, 52,712.69 and 21,202.53

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Solution

The fourth proportional to 38,198.34, 52,712.69 and 21,202.53 is: 29,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.34 : 52,712.69 = 21,202.53 : x
  2. Step 2: Convert to fraction form
    38,198.34/52,712.69 = 21,202.53/x
  3. Step 3: Cross multiply
    38,198.34x = 52,712.69 × 21,202.53
  4. Step 4: Simplify right side
    38,198.34x = 1,117,642,391.11
  5. Step 5: Solve for x
    x = 1,117,642,391.11/38,198.34
  6. Step 6: Final answer
    x = 29,258.93

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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.