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Finding the Fourth Proportional to 57,189.10, 78,902.04 and 34,519.48

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Solution

The fourth proportional to 57,189.10, 78,902.04 and 34,519.48 is: 47,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.10 : 78,902.04 = 34,519.48 : x
  2. Step 2: Convert to fraction form
    57,189.10/78,902.04 = 34,519.48/x
  3. Step 3: Cross multiply
    57,189.10x = 78,902.04 × 34,519.48
  4. Step 4: Simplify right side
    57,189.10x = 2,723,657,391.74
  5. Step 5: Solve for x
    x = 2,723,657,391.74/57,189.10
  6. Step 6: Final answer
    x = 47,625.46

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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.