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Finding the Fourth Proportional to 102,568.67, 153,921.73 and 36,009.00

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Solution

The fourth proportional to 102,568.67, 153,921.73 and 36,009.00 is: 54,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,568.67 : 153,921.73 = 36,009.00 : x
  2. Step 2: Convert to fraction form
    102,568.67/153,921.73 = 36,009.00/x
  3. Step 3: Cross multiply
    102,568.67x = 153,921.73 × 36,009.00
  4. Step 4: Simplify right side
    102,568.67x = 5,542,566,625.92
  5. Step 5: Solve for x
    x = 5,542,566,625.92/102,568.67
  6. Step 6: Final answer
    x = 54,037.62

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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.