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Finding the Fourth Proportional to 38,226.16, 52,753.84 and 21,230.46

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Solution

The fourth proportional to 38,226.16, 52,753.84 and 21,230.46 is: 29,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226.16 : 52,753.84 = 21,230.46 : x
  2. Step 2: Convert to fraction form
    38,226.16/52,753.84 = 21,230.46/x
  3. Step 3: Cross multiply
    38,226.16x = 52,753.84 × 21,230.46
  4. Step 4: Simplify right side
    38,226.16x = 1,119,988,289.97
  5. Step 5: Solve for x
    x = 1,119,988,289.97/38,226.16
  6. Step 6: Final answer
    x = 29,299.00

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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.