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Finding the Fourth Proportional to 40,323, 55,645.74 and 22,659

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Solution

The fourth proportional to 40,323, 55,645.74 and 22,659 is: 31,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,323 : 55,645.74 = 22,659 : x
  2. Step 2: Convert to fraction form
    40,323/55,645.74 = 22,659/x
  3. Step 3: Cross multiply
    40,323x = 55,645.74 × 22,659
  4. Step 4: Simplify right side
    40,323x = 1,260,876,822.66
  5. Step 5: Solve for x
    x = 1,260,876,822.66/40,323
  6. Step 6: Final answer
    x = 31,269.42

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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.