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Finding the Fourth Proportional to 40,334, 55,660.96 and 22,670

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Solution

The fourth proportional to 40,334, 55,660.96 and 22,670 is: 31,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,334 : 55,660.96 = 22,670 : x
  2. Step 2: Convert to fraction form
    40,334/55,660.96 = 22,670/x
  3. Step 3: Cross multiply
    40,334x = 55,660.96 × 22,670
  4. Step 4: Simplify right side
    40,334x = 1,261,833,963.20
  5. Step 5: Solve for x
    x = 1,261,833,963.20/40,334
  6. Step 6: Final answer
    x = 31,284.62

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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.