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Finding the Fourth Proportional to 110,357.17, 165,537.31 and 31,471.40

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Solution

The fourth proportional to 110,357.17, 165,537.31 and 31,471.40 is: 47,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,357.17 : 165,537.31 = 31,471.40 : x
  2. Step 2: Convert to fraction form
    110,357.17/165,537.31 = 31,471.40/x
  3. Step 3: Cross multiply
    110,357.17x = 165,537.31 × 31,471.40
  4. Step 4: Simplify right side
    110,357.17x = 5,209,690,897.93
  5. Step 5: Solve for x
    x = 5,209,690,897.93/110,357.17
  6. Step 6: Final answer
    x = 47,207.54

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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.