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Finding the Fourth Proportional to 49,462.88, 68,258.80 and 27,106.88

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Solution

The fourth proportional to 49,462.88, 68,258.80 and 27,106.88 is: 37,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,462.88 : 68,258.80 = 27,106.88 : x
  2. Step 2: Convert to fraction form
    49,462.88/68,258.80 = 27,106.88/x
  3. Step 3: Cross multiply
    49,462.88x = 68,258.80 × 27,106.88
  4. Step 4: Simplify right side
    49,462.88x = 1,850,283,100.54
  5. Step 5: Solve for x
    x = 1,850,283,100.54/49,462.88
  6. Step 6: Final answer
    x = 37,407.51

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1.5x scale

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.