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Finding the Fourth Proportional to 110,507.64, 165,737.97 and 31,600.68

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Solution

The fourth proportional to 110,507.64, 165,737.97 and 31,600.68 is: 47,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,507.64 : 165,737.97 = 31,600.68 : x
  2. Step 2: Convert to fraction form
    110,507.64/165,737.97 = 31,600.68/x
  3. Step 3: Cross multiply
    110,507.64x = 165,737.97 × 31,600.68
  4. Step 4: Simplify right side
    110,507.64x = 5,237,432,553.82
  5. Step 5: Solve for x
    x = 5,237,432,553.82/110,507.64
  6. Step 6: Final answer
    x = 47,394.30

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1.5x scale

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.