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Finding the Fourth Proportional to 75,889.13, 104,728.54 and 41,897.48

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Solution

The fourth proportional to 75,889.13, 104,728.54 and 41,897.48 is: 57,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889.13 : 104,728.54 = 41,897.48 : x
  2. Step 2: Convert to fraction form
    75,889.13/104,728.54 = 41,897.48/x
  3. Step 3: Cross multiply
    75,889.13x = 104,728.54 × 41,897.48
  4. Step 4: Simplify right side
    75,889.13x = 4,387,862,067.16
  5. Step 5: Solve for x
    x = 4,387,862,067.16/75,889.13
  6. Step 6: Final answer
    x = 57,819.37

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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.