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Finding the Fourth Proportional to 110,528.10, 165,788.10 and 31,642.20

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Solution

The fourth proportional to 110,528.10, 165,788.10 and 31,642.20 is: 47,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,528.10 : 165,788.10 = 31,642.20 : x
  2. Step 2: Convert to fraction form
    110,528.10/165,788.10 = 31,642.20/x
  3. Step 3: Cross multiply
    110,528.10x = 165,788.10 × 31,642.20
  4. Step 4: Simplify right side
    110,528.10x = 5,245,900,217.82
  5. Step 5: Solve for x
    x = 5,245,900,217.82/110,528.10
  6. Step 6: Final answer
    x = 47,462.14

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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.