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Finding the Fourth Proportional to 71,055.20, 106,509.36 and 26,650.64

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Solution

The fourth proportional to 71,055.20, 106,509.36 and 26,650.64 is: 39,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,055.20 : 106,509.36 = 26,650.64 : x
  2. Step 2: Convert to fraction form
    71,055.20/106,509.36 = 26,650.64/x
  3. Step 3: Cross multiply
    71,055.20x = 106,509.36 × 26,650.64
  4. Step 4: Simplify right side
    71,055.20x = 2,838,542,609.99
  5. Step 5: Solve for x
    x = 2,838,542,609.99/71,055.20
  6. Step 6: Final answer
    x = 39,948.41

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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.