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Finding the Fourth Proportional to 110,588.60, 165,832.98 and 31,684.76

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Solution

The fourth proportional to 110,588.60, 165,832.98 and 31,684.76 is: 47,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,588.60 : 165,832.98 = 31,684.76 : x
  2. Step 2: Convert to fraction form
    110,588.60/165,832.98 = 31,684.76/x
  3. Step 3: Cross multiply
    110,588.60x = 165,832.98 × 31,684.76
  4. Step 4: Simplify right side
    110,588.60x = 5,254,378,171.38
  5. Step 5: Solve for x
    x = 5,254,378,171.38/110,588.60
  6. Step 6: Final answer
    x = 47,512.84

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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.