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Finding the Fourth Proportional to 32,617.74, 48,932.76 and 18,593.60

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Solution

The fourth proportional to 32,617.74, 48,932.76 and 18,593.60 is: 27,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.74 : 48,932.76 = 18,593.60 : x
  2. Step 2: Convert to fraction form
    32,617.74/48,932.76 = 18,593.60/x
  3. Step 3: Cross multiply
    32,617.74x = 48,932.76 × 18,593.60
  4. Step 4: Simplify right side
    32,617.74x = 909,836,162.06
  5. Step 5: Solve for x
    x = 909,836,162.06/32,617.74
  6. Step 6: Final answer
    x = 27,893.91

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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.