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Finding the Fourth Proportional to 38,109.84, 52,582.08 and 21,982.08

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Solution

The fourth proportional to 38,109.84, 52,582.08 and 21,982.08 is: 30,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,109.84 : 52,582.08 = 21,982.08 : x
  2. Step 2: Convert to fraction form
    38,109.84/52,582.08 = 21,982.08/x
  3. Step 3: Cross multiply
    38,109.84x = 52,582.08 × 21,982.08
  4. Step 4: Simplify right side
    38,109.84x = 1,155,863,489.13
  5. Step 5: Solve for x
    x = 1,155,863,489.13/38,109.84
  6. Step 6: Final answer
    x = 30,329.79

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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.