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Finding the Fourth Proportional to 110,486.76, 165,738.24 and 47,245.20

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Solution

The fourth proportional to 110,486.76, 165,738.24 and 47,245.20 is: 70,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,486.76 : 165,738.24 = 47,245.20 : x
  2. Step 2: Convert to fraction form
    110,486.76/165,738.24 = 47,245.20/x
  3. Step 3: Cross multiply
    110,486.76x = 165,738.24 × 47,245.20
  4. Step 4: Simplify right side
    110,486.76x = 7,830,336,296.45
  5. Step 5: Solve for x
    x = 7,830,336,296.45/110,486.76
  6. Step 6: Final answer
    x = 70,871.26

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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.