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Finding the Fourth Proportional to 42,894.33, 59,197.77 and 23,778.78

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Solution

The fourth proportional to 42,894.33, 59,197.77 and 23,778.78 is: 32,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.33 : 59,197.77 = 23,778.78 : x
  2. Step 2: Convert to fraction form
    42,894.33/59,197.77 = 23,778.78/x
  3. Step 3: Cross multiply
    42,894.33x = 59,197.77 × 23,778.78
  4. Step 4: Simplify right side
    42,894.33x = 1,407,650,749.32
  5. Step 5: Solve for x
    x = 1,407,650,749.32/42,894.33
  6. Step 6: Final answer
    x = 32,816.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.