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Finding the Fourth Proportional to 32,214.56, 48,310.02 and 11,149.16

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Solution

The fourth proportional to 32,214.56, 48,310.02 and 11,149.16 is: 16,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.56 : 48,310.02 = 11,149.16 : x
  2. Step 2: Convert to fraction form
    32,214.56/48,310.02 = 11,149.16/x
  3. Step 3: Cross multiply
    32,214.56x = 48,310.02 × 11,149.16
  4. Step 4: Simplify right side
    32,214.56x = 538,615,901.03
  5. Step 5: Solve for x
    x = 538,615,901.03/32,214.56
  6. Step 6: Final answer
    x = 16,719.64

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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.