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Finding the Fourth Proportional to 42,002.55, 57,764.90 and 33,403.54

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Solution

The fourth proportional to 42,002.55, 57,764.90 and 33,403.54 is: 45,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,002.55 : 57,764.90 = 33,403.54 : x
  2. Step 2: Convert to fraction form
    42,002.55/57,764.90 = 33,403.54/x
  3. Step 3: Cross multiply
    42,002.55x = 57,764.90 × 33,403.54
  4. Step 4: Simplify right side
    42,002.55x = 1,929,552,007.26
  5. Step 5: Solve for x
    x = 1,929,552,007.26/42,002.55
  6. Step 6: Final answer
    x = 45,938.93

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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.