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Finding the Fourth Proportional to 110,644.60, 165,991.58 and 31,752.68

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Solution

The fourth proportional to 110,644.60, 165,991.58 and 31,752.68 is: 47,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,644.60 : 165,991.58 = 31,752.68 : x
  2. Step 2: Convert to fraction form
    110,644.60/165,991.58 = 31,752.68/x
  3. Step 3: Cross multiply
    110,644.60x = 165,991.58 × 31,752.68
  4. Step 4: Simplify right side
    110,644.60x = 5,270,677,522.43
  5. Step 5: Solve for x
    x = 5,270,677,522.43/110,644.60
  6. Step 6: Final answer
    x = 47,636.10

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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.