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Finding the Fourth Proportional to 76,673.80, 115,016.10 and 43,409.80

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Solution

The fourth proportional to 76,673.80, 115,016.10 and 43,409.80 is: 65,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,673.80 : 115,016.10 = 43,409.80 : x
  2. Step 2: Convert to fraction form
    76,673.80/115,016.10 = 43,409.80/x
  3. Step 3: Cross multiply
    76,673.80x = 115,016.10 × 43,409.80
  4. Step 4: Simplify right side
    76,673.80x = 4,992,825,897.78
  5. Step 5: Solve for x
    x = 4,992,825,897.78/76,673.80
  6. Step 6: Final answer
    x = 65,117.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.