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Finding the Fourth Proportional to 73,707.78, 110,572.65 and 23,771.46

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Solution

The fourth proportional to 73,707.78, 110,572.65 and 23,771.46 is: 35,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,707.78 : 110,572.65 = 23,771.46 : x
  2. Step 2: Convert to fraction form
    73,707.78/110,572.65 = 23,771.46/x
  3. Step 3: Cross multiply
    73,707.78x = 110,572.65 × 23,771.46
  4. Step 4: Simplify right side
    73,707.78x = 2,628,473,326.57
  5. Step 5: Solve for x
    x = 2,628,473,326.57/73,707.78
  6. Step 6: Final answer
    x = 35,660.73

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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.