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Finding the Fourth Proportional to 102,540.96, 153,717.42 and 35,944.74

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Solution

The fourth proportional to 102,540.96, 153,717.42 and 35,944.74 is: 53,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540.96 : 153,717.42 = 35,944.74 : x
  2. Step 2: Convert to fraction form
    102,540.96/153,717.42 = 35,944.74/x
  3. Step 3: Cross multiply
    102,540.96x = 153,717.42 × 35,944.74
  4. Step 4: Simplify right side
    102,540.96x = 5,525,332,695.37
  5. Step 5: Solve for x
    x = 5,525,332,695.37/102,540.96
  6. Step 6: Final answer
    x = 53,884.15

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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.