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Finding the Fourth Proportional to 75,322.42, 103,944.42 and 41,788.42

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Solution

The fourth proportional to 75,322.42, 103,944.42 and 41,788.42 is: 57,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322.42 : 103,944.42 = 41,788.42 : x
  2. Step 2: Convert to fraction form
    75,322.42/103,944.42 = 41,788.42/x
  3. Step 3: Cross multiply
    75,322.42x = 103,944.42 × 41,788.42
  4. Step 4: Simplify right side
    75,322.42x = 4,343,673,079.62
  5. Step 5: Solve for x
    x = 4,343,673,079.62/75,322.42
  6. Step 6: Final answer
    x = 57,667.73

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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.