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Finding the Fourth Proportional to 38,644.84, 53,359.98 and 29,678.20

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Solution

The fourth proportional to 38,644.84, 53,359.98 and 29,678.20 is: 40,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.84 : 53,359.98 = 29,678.20 : x
  2. Step 2: Convert to fraction form
    38,644.84/53,359.98 = 29,678.20/x
  3. Step 3: Cross multiply
    38,644.84x = 53,359.98 × 29,678.20
  4. Step 4: Simplify right side
    38,644.84x = 1,583,628,158.44
  5. Step 5: Solve for x
    x = 1,583,628,158.44/38,644.84
  6. Step 6: Final answer
    x = 40,979.03

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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.