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Finding the Fourth Proportional to 110,448.87, 165,678.77 and 31,574.71

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Solution

The fourth proportional to 110,448.87, 165,678.77 and 31,574.71 is: 47,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,448.87 : 165,678.77 = 31,574.71 : x
  2. Step 2: Convert to fraction form
    110,448.87/165,678.77 = 31,574.71/x
  3. Step 3: Cross multiply
    110,448.87x = 165,678.77 × 31,574.71
  4. Step 4: Simplify right side
    110,448.87x = 5,231,259,115.91
  5. Step 5: Solve for x
    x = 5,231,259,115.91/110,448.87
  6. Step 6: Final answer
    x = 47,363.63

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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.