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Finding the Fourth Proportional to 110,300.49, 165,478.33 and 31,414.72

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Solution

The fourth proportional to 110,300.49, 165,478.33 and 31,414.72 is: 47,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,300.49 : 165,478.33 = 31,414.72 : x
  2. Step 2: Convert to fraction form
    110,300.49/165,478.33 = 31,414.72/x
  3. Step 3: Cross multiply
    110,300.49x = 165,478.33 × 31,414.72
  4. Step 4: Simplify right side
    110,300.49x = 5,198,454,945.63
  5. Step 5: Solve for x
    x = 5,198,454,945.63/110,300.49
  6. Step 6: Final answer
    x = 47,129.93

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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.