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Finding the Fourth Proportional to 38,203.41, 52,719.34 and 21,208.40

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Solution

The fourth proportional to 38,203.41, 52,719.34 and 21,208.40 is: 29,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.41 : 52,719.34 = 21,208.40 : x
  2. Step 2: Convert to fraction form
    38,203.41/52,719.34 = 21,208.40/x
  3. Step 3: Cross multiply
    38,203.41x = 52,719.34 × 21,208.40
  4. Step 4: Simplify right side
    38,203.41x = 1,118,092,850.46
  5. Step 5: Solve for x
    x = 1,118,092,850.46/38,203.41
  6. Step 6: Final answer
    x = 29,266.83

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