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Finding the Fourth Proportional to 32,309.83, 48,467.06 and 8,617.25

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Solution

The fourth proportional to 32,309.83, 48,467.06 and 8,617.25 is: 12,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.83 : 48,467.06 = 8,617.25 : x
  2. Step 2: Convert to fraction form
    32,309.83/48,467.06 = 8,617.25/x
  3. Step 3: Cross multiply
    32,309.83x = 48,467.06 × 8,617.25
  4. Step 4: Simplify right side
    32,309.83x = 417,652,883.18
  5. Step 5: Solve for x
    x = 417,652,883.18/32,309.83
  6. Step 6: Final answer
    x = 12,926.50

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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.