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Finding the Fourth Proportional to 106,457.52, 159,700.86 and 36,318

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Solution

The fourth proportional to 106,457.52, 159,700.86 and 36,318 is: 54,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,457.52 : 159,700.86 = 36,318 : x
  2. Step 2: Convert to fraction form
    106,457.52/159,700.86 = 36,318/x
  3. Step 3: Cross multiply
    106,457.52x = 159,700.86 × 36,318
  4. Step 4: Simplify right side
    106,457.52x = 5,800,015,833.48
  5. Step 5: Solve for x
    x = 5,800,015,833.48/106,457.52
  6. Step 6: Final answer
    x = 54,481.97

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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.