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Finding the Fourth Proportional to 110,743.60, 166,109.60 and 31,854.74

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Solution

The fourth proportional to 110,743.60, 166,109.60 and 31,854.74 is: 47,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,743.60 : 166,109.60 = 31,854.74 : x
  2. Step 2: Convert to fraction form
    110,743.60/166,109.60 = 31,854.74/x
  3. Step 3: Cross multiply
    110,743.60x = 166,109.60 × 31,854.74
  4. Step 4: Simplify right side
    110,743.60x = 5,291,378,119.50
  5. Step 5: Solve for x
    x = 5,291,378,119.50/110,743.60
  6. Step 6: Final answer
    x = 47,780.44

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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.