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Finding the Fourth Proportional to 83,287.87, 114,936.90 and 45,047.46

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Solution

The fourth proportional to 83,287.87, 114,936.90 and 45,047.46 is: 62,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.87 : 114,936.90 = 45,047.46 : x
  2. Step 2: Convert to fraction form
    83,287.87/114,936.90 = 45,047.46/x
  3. Step 3: Cross multiply
    83,287.87x = 114,936.90 × 45,047.46
  4. Step 4: Simplify right side
    83,287.87x = 5,177,615,405.27
  5. Step 5: Solve for x
    x = 5,177,615,405.27/83,287.87
  6. Step 6: Final answer
    x = 62,165.30

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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.