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Finding the Fourth Proportional to 55,057.44, 75,978.82 and 29,906.92

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Solution

The fourth proportional to 55,057.44, 75,978.82 and 29,906.92 is: 41,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,057.44 : 75,978.82 = 29,906.92 : x
  2. Step 2: Convert to fraction form
    55,057.44/75,978.82 = 29,906.92/x
  3. Step 3: Cross multiply
    55,057.44x = 75,978.82 × 29,906.92
  4. Step 4: Simplify right side
    55,057.44x = 2,272,292,491.43
  5. Step 5: Solve for x
    x = 2,272,292,491.43/55,057.44
  6. Step 6: Final answer
    x = 41,271.31

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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.