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Finding the Fourth Proportional to 42,778.86, 59,033.85 and 23,916

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Solution

The fourth proportional to 42,778.86, 59,033.85 and 23,916 is: 33,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,778.86 : 59,033.85 = 23,916 : x
  2. Step 2: Convert to fraction form
    42,778.86/59,033.85 = 23,916/x
  3. Step 3: Cross multiply
    42,778.86x = 59,033.85 × 23,916
  4. Step 4: Simplify right side
    42,778.86x = 1,411,853,556.60
  5. Step 5: Solve for x
    x = 1,411,853,556.60/42,778.86
  6. Step 6: Final answer
    x = 33,003.53

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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.