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Finding the Fourth Proportional to 110,476, 165,721.20 and 31,596.64

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Solution

The fourth proportional to 110,476, 165,721.20 and 31,596.64 is: 47,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,476 : 165,721.20 = 31,596.64 : x
  2. Step 2: Convert to fraction form
    110,476/165,721.20 = 31,596.64/x
  3. Step 3: Cross multiply
    110,476x = 165,721.20 × 31,596.64
  4. Step 4: Simplify right side
    110,476x = 5,236,233,096.77
  5. Step 5: Solve for x
    x = 5,236,233,096.77/110,476
  6. Step 6: Final answer
    x = 47,397.02

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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.