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Finding the Fourth Proportional to 36,955.92, 55,430 and 9,253.92

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Solution

The fourth proportional to 36,955.92, 55,430 and 9,253.92 is: 13,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,955.92 : 55,430 = 9,253.92 : x
  2. Step 2: Convert to fraction form
    36,955.92/55,430 = 9,253.92/x
  3. Step 3: Cross multiply
    36,955.92x = 55,430 × 9,253.92
  4. Step 4: Simplify right side
    36,955.92x = 512,944,785.60
  5. Step 5: Solve for x
    x = 512,944,785.60/36,955.92
  6. Step 6: Final answer
    x = 13,879.91

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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.