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Finding the Fourth Proportional to 38,644.84, 53,310.90 and 25,209.88

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Solution

The fourth proportional to 38,644.84, 53,310.90 and 25,209.88 is: 34,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.84 : 53,310.90 = 25,209.88 : x
  2. Step 2: Convert to fraction form
    38,644.84/53,310.90 = 25,209.88/x
  3. Step 3: Cross multiply
    38,644.84x = 53,310.90 × 25,209.88
  4. Step 4: Simplify right side
    38,644.84x = 1,343,961,391.69
  5. Step 5: Solve for x
    x = 1,343,961,391.69/38,644.84
  6. Step 6: Final answer
    x = 34,777.25

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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.