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Finding the Fourth Proportional to 38,392.84, 52,986 and 21,399.85

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Solution

The fourth proportional to 38,392.84, 52,986 and 21,399.85 is: 29,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,392.84 : 52,986 = 21,399.85 : x
  2. Step 2: Convert to fraction form
    38,392.84/52,986 = 21,399.85/x
  3. Step 3: Cross multiply
    38,392.84x = 52,986 × 21,399.85
  4. Step 4: Simplify right side
    38,392.84x = 1,133,892,452.10
  5. Step 5: Solve for x
    x = 1,133,892,452.10/38,392.84
  6. Step 6: Final answer
    x = 29,533.96

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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.