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Finding the Fourth Proportional to 32,223.81, 44,469.17 and 18,076.96

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Solution

The fourth proportional to 32,223.81, 44,469.17 and 18,076.96 is: 24,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,223.81 : 44,469.17 = 18,076.96 : x
  2. Step 2: Convert to fraction form
    32,223.81/44,469.17 = 18,076.96/x
  3. Step 3: Cross multiply
    32,223.81x = 44,469.17 × 18,076.96
  4. Step 4: Simplify right side
    32,223.81x = 803,867,407.32
  5. Step 5: Solve for x
    x = 803,867,407.32/32,223.81
  6. Step 6: Final answer
    x = 24,946.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.