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Finding the Fourth Proportional to 32,658.88, 48,972.06 and 13,936

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Solution

The fourth proportional to 32,658.88, 48,972.06 and 13,936 is: 20,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,658.88 : 48,972.06 = 13,936 : x
  2. Step 2: Convert to fraction form
    32,658.88/48,972.06 = 13,936/x
  3. Step 3: Cross multiply
    32,658.88x = 48,972.06 × 13,936
  4. Step 4: Simplify right side
    32,658.88x = 682,474,628.16
  5. Step 5: Solve for x
    x = 682,474,628.16/32,658.88
  6. Step 6: Final answer
    x = 20,897.06

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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.