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Finding the Fourth Proportional to 57,135.75, 78,847.34 and 31,985.79

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Solution

The fourth proportional to 57,135.75, 78,847.34 and 31,985.79 is: 44,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.75 : 78,847.34 = 31,985.79 : x
  2. Step 2: Convert to fraction form
    57,135.75/78,847.34 = 31,985.79/x
  3. Step 3: Cross multiply
    57,135.75x = 78,847.34 × 31,985.79
  4. Step 4: Simplify right side
    57,135.75x = 2,521,994,299.37
  5. Step 5: Solve for x
    x = 2,521,994,299.37/57,135.75
  6. Step 6: Final answer
    x = 44,140.39

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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.