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Finding the Fourth Proportional to 31,885.38, 44,000.64 and 17,737.92

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Solution

The fourth proportional to 31,885.38, 44,000.64 and 17,737.92 is: 24,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.38 : 44,000.64 = 17,737.92 : x
  2. Step 2: Convert to fraction form
    31,885.38/44,000.64 = 17,737.92/x
  3. Step 3: Cross multiply
    31,885.38x = 44,000.64 × 17,737.92
  4. Step 4: Simplify right side
    31,885.38x = 780,479,832.27
  5. Step 5: Solve for x
    x = 780,479,832.27/31,885.38
  6. Step 6: Final answer
    x = 24,477.67

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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.