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Finding the Fourth Proportional to 106,574.93, 159,865.13 and 50,441.32

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Solution

The fourth proportional to 106,574.93, 159,865.13 and 50,441.32 is: 75,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,574.93 : 159,865.13 = 50,441.32 : x
  2. Step 2: Convert to fraction form
    106,574.93/159,865.13 = 50,441.32/x
  3. Step 3: Cross multiply
    106,574.93x = 159,865.13 × 50,441.32
  4. Step 4: Simplify right side
    106,574.93x = 8,063,808,179.17
  5. Step 5: Solve for x
    x = 8,063,808,179.17/106,574.93
  6. Step 6: Final answer
    x = 75,663.27

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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.