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Finding the Fourth Proportional to 32,179.60, 44,324.76 and 22,731.76

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Solution

The fourth proportional to 32,179.60, 44,324.76 and 22,731.76 is: 31,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179.60 : 44,324.76 = 22,731.76 : x
  2. Step 2: Convert to fraction form
    32,179.60/44,324.76 = 22,731.76/x
  3. Step 3: Cross multiply
    32,179.60x = 44,324.76 × 22,731.76
  4. Step 4: Simplify right side
    32,179.60x = 1,007,579,806.38
  5. Step 5: Solve for x
    x = 1,007,579,806.38/32,179.60
  6. Step 6: Final answer
    x = 31,311.14

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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.