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Finding the Fourth Proportional to 85,581.50, 118,093.41 and 47,334.96

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Solution

The fourth proportional to 85,581.50, 118,093.41 and 47,334.96 is: 65,317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,581.50 : 118,093.41 = 47,334.96 : x
  2. Step 2: Convert to fraction form
    85,581.50/118,093.41 = 47,334.96/x
  3. Step 3: Cross multiply
    85,581.50x = 118,093.41 × 47,334.96
  4. Step 4: Simplify right side
    85,581.50x = 5,589,946,838.61
  5. Step 5: Solve for x
    x = 5,589,946,838.61/85,581.50
  6. Step 6: Final answer
    x = 65,317.24

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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.