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Finding the Fourth Proportional to 39,826.34, 59,739.44 and 11,766.11

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Solution

The fourth proportional to 39,826.34, 59,739.44 and 11,766.11 is: 17,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,826.34 : 59,739.44 = 11,766.11 : x
  2. Step 2: Convert to fraction form
    39,826.34/59,739.44 = 11,766.11/x
  3. Step 3: Cross multiply
    39,826.34x = 59,739.44 × 11,766.11
  4. Step 4: Simplify right side
    39,826.34x = 702,900,590.22
  5. Step 5: Solve for x
    x = 702,900,590.22/39,826.34
  6. Step 6: Final answer
    x = 17,649.14

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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.