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Finding the Fourth Proportional to 80,970.17, 111,739.37 and 45,162.50

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Solution

The fourth proportional to 80,970.17, 111,739.37 and 45,162.50 is: 62,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970.17 : 111,739.37 = 45,162.50 : x
  2. Step 2: Convert to fraction form
    80,970.17/111,739.37 = 45,162.50/x
  3. Step 3: Cross multiply
    80,970.17x = 111,739.37 × 45,162.50
  4. Step 4: Simplify right side
    80,970.17x = 5,046,428,513.12
  5. Step 5: Solve for x
    x = 5,046,428,513.12/80,970.17
  6. Step 6: Final answer
    x = 62,324.54

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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.