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Finding the Fourth Proportional to 39,730, 54,825.40 and 23,811.36

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Solution

The fourth proportional to 39,730, 54,825.40 and 23,811.36 is: 32,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,730 : 54,825.40 = 23,811.36 : x
  2. Step 2: Convert to fraction form
    39,730/54,825.40 = 23,811.36/x
  3. Step 3: Cross multiply
    39,730x = 54,825.40 × 23,811.36
  4. Step 4: Simplify right side
    39,730x = 1,305,467,336.54
  5. Step 5: Solve for x
    x = 1,305,467,336.54/39,730
  6. Step 6: Final answer
    x = 32,858.48

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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.