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Finding the Fourth Proportional to 38,317, 52,880.72 and 21,553.24

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Solution

The fourth proportional to 38,317, 52,880.72 and 21,553.24 is: 29,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,317 : 52,880.72 = 21,553.24 : x
  2. Step 2: Convert to fraction form
    38,317/52,880.72 = 21,553.24/x
  3. Step 3: Cross multiply
    38,317x = 52,880.72 × 21,553.24
  4. Step 4: Simplify right side
    38,317x = 1,139,750,849.53
  5. Step 5: Solve for x
    x = 1,139,750,849.53/38,317
  6. Step 6: Final answer
    x = 29,745.30

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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.