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Finding the Fourth Proportional to 32,321.64, 48,404.70 and 18,428.52

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Solution

The fourth proportional to 32,321.64, 48,404.70 and 18,428.52 is: 27,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,321.64 : 48,404.70 = 18,428.52 : x
  2. Step 2: Convert to fraction form
    32,321.64/48,404.70 = 18,428.52/x
  3. Step 3: Cross multiply
    32,321.64x = 48,404.70 × 18,428.52
  4. Step 4: Simplify right side
    32,321.64x = 892,026,982.04
  5. Step 5: Solve for x
    x = 892,026,982.04/32,321.64
  6. Step 6: Final answer
    x = 27,598.44

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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.