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Finding the Fourth Proportional to 110,295.81, 165,471.39 and 31,410.02

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Solution

The fourth proportional to 110,295.81, 165,471.39 and 31,410.02 is: 47,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,295.81 : 165,471.39 = 31,410.02 : x
  2. Step 2: Convert to fraction form
    110,295.81/165,471.39 = 31,410.02/x
  3. Step 3: Cross multiply
    110,295.81x = 165,471.39 × 31,410.02
  4. Step 4: Simplify right side
    110,295.81x = 5,197,459,669.33
  5. Step 5: Solve for x
    x = 5,197,459,669.33/110,295.81
  6. Step 6: Final answer
    x = 47,122.91

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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.