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Finding the Fourth Proportional to 32,551.77, 48,830.10 and 13,829.70

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Solution

The fourth proportional to 32,551.77, 48,830.10 and 13,829.70 is: 20,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551.77 : 48,830.10 = 13,829.70 : x
  2. Step 2: Convert to fraction form
    32,551.77/48,830.10 = 13,829.70/x
  3. Step 3: Cross multiply
    32,551.77x = 48,830.10 × 13,829.70
  4. Step 4: Simplify right side
    32,551.77x = 675,305,633.97
  5. Step 5: Solve for x
    x = 675,305,633.97/32,551.77
  6. Step 6: Final answer
    x = 20,745.59

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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.