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Finding the Fourth Proportional to 32,658.35, 49,009.32 and 11,881.85

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Solution

The fourth proportional to 32,658.35, 49,009.32 and 11,881.85 is: 17,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,658.35 : 49,009.32 = 11,881.85 : x
  2. Step 2: Convert to fraction form
    32,658.35/49,009.32 = 11,881.85/x
  3. Step 3: Cross multiply
    32,658.35x = 49,009.32 × 11,881.85
  4. Step 4: Simplify right side
    32,658.35x = 582,321,143.80
  5. Step 5: Solve for x
    x = 582,321,143.80/32,658.35
  6. Step 6: Final answer
    x = 17,830.70

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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.