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Finding the Fourth Proportional to 38,064, 52,551.36 and 24,839.04

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Solution

The fourth proportional to 38,064, 52,551.36 and 24,839.04 is: 34,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 52,551.36 = 24,839.04 : x
  2. Step 2: Convert to fraction form
    38,064/52,551.36 = 24,839.04/x
  3. Step 3: Cross multiply
    38,064x = 52,551.36 × 24,839.04
  4. Step 4: Simplify right side
    38,064x = 1,305,325,333.09
  5. Step 5: Solve for x
    x = 1,305,325,333.09/38,064
  6. Step 6: Final answer
    x = 34,292.91

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Why These Related Problems?

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