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Finding the Fourth Proportional to 38,820.57, 53,569.44 and 21,822.12

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Solution

The fourth proportional to 38,820.57, 53,569.44 and 21,822.12 is: 30,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820.57 : 53,569.44 = 21,822.12 : x
  2. Step 2: Convert to fraction form
    38,820.57/53,569.44 = 21,822.12/x
  3. Step 3: Cross multiply
    38,820.57x = 53,569.44 × 21,822.12
  4. Step 4: Simplify right side
    38,820.57x = 1,168,998,748.01
  5. Step 5: Solve for x
    x = 1,168,998,748.01/38,820.57
  6. Step 6: Final answer
    x = 30,112.87

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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.