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Finding the Fourth Proportional to 110,448.40, 165,678.36 and 31,574.56

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Solution

The fourth proportional to 110,448.40, 165,678.36 and 31,574.56 is: 47,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,448.40 : 165,678.36 = 31,574.56 : x
  2. Step 2: Convert to fraction form
    110,448.40/165,678.36 = 31,574.56/x
  3. Step 3: Cross multiply
    110,448.40x = 165,678.36 × 31,574.56
  4. Step 4: Simplify right side
    110,448.40x = 5,231,221,318.52
  5. Step 5: Solve for x
    x = 5,231,221,318.52/110,448.40
  6. Step 6: Final answer
    x = 47,363.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.