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Finding the Fourth Proportional to 47,796.54, 65,952 and 27,649.44

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Solution

The fourth proportional to 47,796.54, 65,952 and 27,649.44 is: 38,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,796.54 : 65,952 = 27,649.44 : x
  2. Step 2: Convert to fraction form
    47,796.54/65,952 = 27,649.44/x
  3. Step 3: Cross multiply
    47,796.54x = 65,952 × 27,649.44
  4. Step 4: Simplify right side
    47,796.54x = 1,823,535,866.88
  5. Step 5: Solve for x
    x = 1,823,535,866.88/47,796.54
  6. Step 6: Final answer
    x = 38,152.05

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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.