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Finding the Fourth Proportional to 106,227.31, 159,224.32 and 36,053.77

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Solution

The fourth proportional to 106,227.31, 159,224.32 and 36,053.77 is: 54,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,227.31 : 159,224.32 = 36,053.77 : x
  2. Step 2: Convert to fraction form
    106,227.31/159,224.32 = 36,053.77/x
  3. Step 3: Cross multiply
    106,227.31x = 159,224.32 × 36,053.77
  4. Step 4: Simplify right side
    106,227.31x = 5,740,637,011.69
  5. Step 5: Solve for x
    x = 5,740,637,011.69/106,227.31
  6. Step 6: Final answer
    x = 54,041.07

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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.