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Finding the Fourth Proportional to 71,143.98, 106,775.82 and 35,594.64

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Solution

The fourth proportional to 71,143.98, 106,775.82 and 35,594.64 is: 53,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.98 : 106,775.82 = 35,594.64 : x
  2. Step 2: Convert to fraction form
    71,143.98/106,775.82 = 35,594.64/x
  3. Step 3: Cross multiply
    71,143.98x = 106,775.82 × 35,594.64
  4. Step 4: Simplify right side
    71,143.98x = 3,800,646,873.60
  5. Step 5: Solve for x
    x = 3,800,646,873.60/71,143.98
  6. Step 6: Final answer
    x = 53,421.90

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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.