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Finding the Fourth Proportional to 38,136.84, 52,616.20 and 23,023.72

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Solution

The fourth proportional to 38,136.84, 52,616.20 and 23,023.72 is: 31,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,136.84 : 52,616.20 = 23,023.72 : x
  2. Step 2: Convert to fraction form
    38,136.84/52,616.20 = 23,023.72/x
  3. Step 3: Cross multiply
    38,136.84x = 52,616.20 × 23,023.72
  4. Step 4: Simplify right side
    38,136.84x = 1,211,420,656.26
  5. Step 5: Solve for x
    x = 1,211,420,656.26/38,136.84
  6. Step 6: Final answer
    x = 31,765.10

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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.