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Finding the Fourth Proportional to 110,448.65, 165,678.74 and 31,574.81

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Solution

The fourth proportional to 110,448.65, 165,678.74 and 31,574.81 is: 47,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,448.65 : 165,678.74 = 31,574.81 : x
  2. Step 2: Convert to fraction form
    110,448.65/165,678.74 = 31,574.81/x
  3. Step 3: Cross multiply
    110,448.65x = 165,678.74 × 31,574.81
  4. Step 4: Simplify right side
    110,448.65x = 5,231,274,736.54
  5. Step 5: Solve for x
    x = 5,231,274,736.54/110,448.65
  6. Step 6: Final answer
    x = 47,363.86

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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.