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Finding the Fourth Proportional to 75,058.64, 103,580.10 and 41,067.80

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Solution

The fourth proportional to 75,058.64, 103,580.10 and 41,067.80 is: 56,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,058.64 : 103,580.10 = 41,067.80 : x
  2. Step 2: Convert to fraction form
    75,058.64/103,580.10 = 41,067.80/x
  3. Step 3: Cross multiply
    75,058.64x = 103,580.10 × 41,067.80
  4. Step 4: Simplify right side
    75,058.64x = 4,253,806,830.78
  5. Step 5: Solve for x
    x = 4,253,806,830.78/75,058.64
  6. Step 6: Final answer
    x = 56,673.11

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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.