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Finding the Fourth Proportional to 75,322.41, 103,944.92 and 41,788.41

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Solution

The fourth proportional to 75,322.41, 103,944.92 and 41,788.41 is: 57,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322.41 : 103,944.92 = 41,788.41 : x
  2. Step 2: Convert to fraction form
    75,322.41/103,944.92 = 41,788.41/x
  3. Step 3: Cross multiply
    75,322.41x = 103,944.92 × 41,788.41
  4. Step 4: Simplify right side
    75,322.41x = 4,343,692,570.70
  5. Step 5: Solve for x
    x = 4,343,692,570.70/75,322.41
  6. Step 6: Final answer
    x = 57,668.00

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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.