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Finding the Fourth Proportional to 32,478.76, 48,714.96 and 22,016

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Solution

The fourth proportional to 32,478.76, 48,714.96 and 22,016 is: 33,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.76 : 48,714.96 = 22,016 : x
  2. Step 2: Convert to fraction form
    32,478.76/48,714.96 = 22,016/x
  3. Step 3: Cross multiply
    32,478.76x = 48,714.96 × 22,016
  4. Step 4: Simplify right side
    32,478.76x = 1,072,508,559.36
  5. Step 5: Solve for x
    x = 1,072,508,559.36/32,478.76
  6. Step 6: Final answer
    x = 33,021.84

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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.