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Finding the Fourth Proportional to 53,418, 73,708.04 and 29,540

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Solution

The fourth proportional to 53,418, 73,708.04 and 29,540 is: 40,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,418 : 73,708.04 = 29,540 : x
  2. Step 2: Convert to fraction form
    53,418/73,708.04 = 29,540/x
  3. Step 3: Cross multiply
    53,418x = 73,708.04 × 29,540
  4. Step 4: Simplify right side
    53,418x = 2,177,335,501.60
  5. Step 5: Solve for x
    x = 2,177,335,501.60/53,418
  6. Step 6: Final answer
    x = 40,760.33

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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.