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Finding the Fourth Proportional to 38,084.08, 52,556 and 21,317.08

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Solution

The fourth proportional to 38,084.08, 52,556 and 21,317.08 is: 29,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084.08 : 52,556 = 21,317.08 : x
  2. Step 2: Convert to fraction form
    38,084.08/52,556 = 21,317.08/x
  3. Step 3: Cross multiply
    38,084.08x = 52,556 × 21,317.08
  4. Step 4: Simplify right side
    38,084.08x = 1,120,340,456.48
  5. Step 5: Solve for x
    x = 1,120,340,456.48/38,084.08
  6. Step 6: Final answer
    x = 29,417.55

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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.