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Finding the Fourth Proportional to 83,047.75, 114,605.90 and 45,322

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Solution

The fourth proportional to 83,047.75, 114,605.90 and 45,322 is: 62,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047.75 : 114,605.90 = 45,322 : x
  2. Step 2: Convert to fraction form
    83,047.75/114,605.90 = 45,322/x
  3. Step 3: Cross multiply
    83,047.75x = 114,605.90 × 45,322
  4. Step 4: Simplify right side
    83,047.75x = 5,194,168,599.80
  5. Step 5: Solve for x
    x = 5,194,168,599.80/83,047.75
  6. Step 6: Final answer
    x = 62,544.36

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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.