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Finding the Fourth Proportional to 57,187.60, 78,899.97 and 34,517.98

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Solution

The fourth proportional to 57,187.60, 78,899.97 and 34,517.98 is: 47,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,187.60 : 78,899.97 = 34,517.98 : x
  2. Step 2: Convert to fraction form
    57,187.60/78,899.97 = 34,517.98/x
  3. Step 3: Cross multiply
    57,187.60x = 78,899.97 × 34,517.98
  4. Step 4: Simplify right side
    57,187.60x = 2,723,467,389.21
  5. Step 5: Solve for x
    x = 2,723,467,389.21/57,187.60
  6. Step 6: Final answer
    x = 47,623.39

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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.