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Finding the Fourth Proportional to 89,212, 123,112.56 and 49,468

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Solution

The fourth proportional to 89,212, 123,112.56 and 49,468 is: 68,265.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,212 : 123,112.56 = 49,468 : x
  2. Step 2: Convert to fraction form
    89,212/123,112.56 = 49,468/x
  3. Step 3: Cross multiply
    89,212x = 123,112.56 × 49,468
  4. Step 4: Simplify right side
    89,212x = 6,090,132,118.08
  5. Step 5: Solve for x
    x = 6,090,132,118.08/89,212
  6. Step 6: Final answer
    x = 68,265.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.