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Finding the Fourth Proportional to 32,383.30, 48,556.68 and 9,889.96

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Solution

The fourth proportional to 32,383.30, 48,556.68 and 9,889.96 is: 14,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,383.30 : 48,556.68 = 9,889.96 : x
  2. Step 2: Convert to fraction form
    32,383.30/48,556.68 = 9,889.96/x
  3. Step 3: Cross multiply
    32,383.30x = 48,556.68 × 9,889.96
  4. Step 4: Simplify right side
    32,383.30x = 480,223,622.93
  5. Step 5: Solve for x
    x = 480,223,622.93/32,383.30
  6. Step 6: Final answer
    x = 14,829.36

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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.