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Finding the Fourth Proportional to 32,218.28, 48,309.54 and 11,147

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Solution

The fourth proportional to 32,218.28, 48,309.54 and 11,147 is: 16,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,218.28 : 48,309.54 = 11,147 : x
  2. Step 2: Convert to fraction form
    32,218.28/48,309.54 = 11,147/x
  3. Step 3: Cross multiply
    32,218.28x = 48,309.54 × 11,147
  4. Step 4: Simplify right side
    32,218.28x = 538,506,442.38
  5. Step 5: Solve for x
    x = 538,506,442.38/32,218.28
  6. Step 6: Final answer
    x = 16,714.31

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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.