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Finding the Fourth Proportional to 110,596.64, 165,865.56 and 31,689.68

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Solution

The fourth proportional to 110,596.64, 165,865.56 and 31,689.68 is: 47,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,596.64 : 165,865.56 = 31,689.68 : x
  2. Step 2: Convert to fraction form
    110,596.64/165,865.56 = 31,689.68/x
  3. Step 3: Cross multiply
    110,596.64x = 165,865.56 × 31,689.68
  4. Step 4: Simplify right side
    110,596.64x = 5,256,226,519.42
  5. Step 5: Solve for x
    x = 5,256,226,519.42/110,596.64
  6. Step 6: Final answer
    x = 47,526.10

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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.