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Finding the Fourth Proportional to 110,506.59, 165,621.30 and 47,252.46

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Solution

The fourth proportional to 110,506.59, 165,621.30 and 47,252.46 is: 70,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506.59 : 165,621.30 = 47,252.46 : x
  2. Step 2: Convert to fraction form
    110,506.59/165,621.30 = 47,252.46/x
  3. Step 3: Cross multiply
    110,506.59x = 165,621.30 × 47,252.46
  4. Step 4: Simplify right side
    110,506.59x = 7,826,014,174.58
  5. Step 5: Solve for x
    x = 7,826,014,174.58/110,506.59
  6. Step 6: Final answer
    x = 70,819.43

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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.