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Finding the Fourth Proportional to 39,231, 54,146.07 and 22,464

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Solution

The fourth proportional to 39,231, 54,146.07 and 22,464 is: 31,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,231 : 54,146.07 = 22,464 : x
  2. Step 2: Convert to fraction form
    39,231/54,146.07 = 22,464/x
  3. Step 3: Cross multiply
    39,231x = 54,146.07 × 22,464
  4. Step 4: Simplify right side
    39,231x = 1,216,337,316.48
  5. Step 5: Solve for x
    x = 1,216,337,316.48/39,231
  6. Step 6: Final answer
    x = 31,004.49

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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.