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Finding the Fourth Proportional to 32,469.77, 48,704.65 and 26,564.87

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Solution

The fourth proportional to 32,469.77, 48,704.65 and 26,564.87 is: 39,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,469.77 : 48,704.65 = 26,564.87 : x
  2. Step 2: Convert to fraction form
    32,469.77/48,704.65 = 26,564.87/x
  3. Step 3: Cross multiply
    32,469.77x = 48,704.65 × 26,564.87
  4. Step 4: Simplify right side
    32,469.77x = 1,293,832,385.71
  5. Step 5: Solve for x
    x = 1,293,832,385.71/32,469.77
  6. Step 6: Final answer
    x = 39,847.30

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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.