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Finding the Fourth Proportional to 83,311.53, 114,969.44 and 45,070.96

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Solution

The fourth proportional to 83,311.53, 114,969.44 and 45,070.96 is: 62,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.53 : 114,969.44 = 45,070.96 : x
  2. Step 2: Convert to fraction form
    83,311.53/114,969.44 = 45,070.96/x
  3. Step 3: Cross multiply
    83,311.53x = 114,969.44 × 45,070.96
  4. Step 4: Simplify right side
    83,311.53x = 5,181,782,949.82
  5. Step 5: Solve for x
    x = 5,181,782,949.82/83,311.53
  6. Step 6: Final answer
    x = 62,197.67

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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.