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Finding the Fourth Proportional to 38,490.84, 53,118.18 and 21,724.20

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Solution

The fourth proportional to 38,490.84, 53,118.18 and 21,724.20 is: 29,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490.84 : 53,118.18 = 21,724.20 : x
  2. Step 2: Convert to fraction form
    38,490.84/53,118.18 = 21,724.20/x
  3. Step 3: Cross multiply
    38,490.84x = 53,118.18 × 21,724.20
  4. Step 4: Simplify right side
    38,490.84x = 1,153,949,965.96
  5. Step 5: Solve for x
    x = 1,153,949,965.96/38,490.84
  6. Step 6: Final answer
    x = 29,979.86

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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.