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Finding the Fourth Proportional to 110,226.27, 165,367.16 and 31,340.50

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Solution

The fourth proportional to 110,226.27, 165,367.16 and 31,340.50 is: 47,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,226.27 : 165,367.16 = 31,340.50 : x
  2. Step 2: Convert to fraction form
    110,226.27/165,367.16 = 31,340.50/x
  3. Step 3: Cross multiply
    110,226.27x = 165,367.16 × 31,340.50
  4. Step 4: Simplify right side
    110,226.27x = 5,182,688,651.14
  5. Step 5: Solve for x
    x = 5,182,688,651.14/110,226.27
  6. Step 6: Final answer
    x = 47,018.64

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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.