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Finding the Fourth Proportional to 41,646.69, 57,472.38 and 22,783.77

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Solution

The fourth proportional to 41,646.69, 57,472.38 and 22,783.77 is: 31,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.69 : 57,472.38 = 22,783.77 : x
  2. Step 2: Convert to fraction form
    41,646.69/57,472.38 = 22,783.77/x
  3. Step 3: Cross multiply
    41,646.69x = 57,472.38 × 22,783.77
  4. Step 4: Simplify right side
    41,646.69x = 1,309,437,487.27
  5. Step 5: Solve for x
    x = 1,309,437,487.27/41,646.69
  6. Step 6: Final answer
    x = 31,441.57

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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.