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Finding the Fourth Proportional to 92,534.82, 138,801.78 and 22,414.14

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Solution

The fourth proportional to 92,534.82, 138,801.78 and 22,414.14 is: 33,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,534.82 : 138,801.78 = 22,414.14 : x
  2. Step 2: Convert to fraction form
    92,534.82/138,801.78 = 22,414.14/x
  3. Step 3: Cross multiply
    92,534.82x = 138,801.78 × 22,414.14
  4. Step 4: Simplify right side
    92,534.82x = 3,111,122,529.17
  5. Step 5: Solve for x
    x = 3,111,122,529.17/92,534.82
  6. Step 6: Final answer
    x = 33,621.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.