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Finding the Fourth Proportional to 110,532.60, 165,794.85 and 31,646.70

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Solution

The fourth proportional to 110,532.60, 165,794.85 and 31,646.70 is: 47,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,532.60 : 165,794.85 = 31,646.70 : x
  2. Step 2: Convert to fraction form
    110,532.60/165,794.85 = 31,646.70/x
  3. Step 3: Cross multiply
    110,532.60x = 165,794.85 × 31,646.70
  4. Step 4: Simplify right side
    110,532.60x = 5,246,859,879.50
  5. Step 5: Solve for x
    x = 5,246,859,879.50/110,532.60
  6. Step 6: Final answer
    x = 47,468.89

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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.