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Finding the Fourth Proportional to 71,086, 106,629.64 and 24,339.28

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Solution

The fourth proportional to 71,086, 106,629.64 and 24,339.28 is: 36,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,086 : 106,629.64 = 24,339.28 : x
  2. Step 2: Convert to fraction form
    71,086/106,629.64 = 24,339.28/x
  3. Step 3: Cross multiply
    71,086x = 106,629.64 × 24,339.28
  4. Step 4: Simplify right side
    71,086x = 2,595,288,664.26
  5. Step 5: Solve for x
    x = 2,595,288,664.26/71,086
  6. Step 6: Final answer
    x = 36,509.14

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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.