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Finding the Fourth Proportional to 110,644.48, 165,994.08 and 31,764.88

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Solution

The fourth proportional to 110,644.48, 165,994.08 and 31,764.88 is: 47,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,644.48 : 165,994.08 = 31,764.88 : x
  2. Step 2: Convert to fraction form
    110,644.48/165,994.08 = 31,764.88/x
  3. Step 3: Cross multiply
    110,644.48x = 165,994.08 × 31,764.88
  4. Step 4: Simplify right side
    110,644.48x = 5,272,782,031.91
  5. Step 5: Solve for x
    x = 5,272,782,031.91/110,644.48
  6. Step 6: Final answer
    x = 47,655.17

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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.