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Finding the Fourth Proportional to 42,006.50, 57,969.24 and 23,143.76

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Solution

The fourth proportional to 42,006.50, 57,969.24 and 23,143.76 is: 31,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,006.50 : 57,969.24 = 23,143.76 : x
  2. Step 2: Convert to fraction form
    42,006.50/57,969.24 = 23,143.76/x
  3. Step 3: Cross multiply
    42,006.50x = 57,969.24 × 23,143.76
  4. Step 4: Simplify right side
    42,006.50x = 1,341,626,177.94
  5. Step 5: Solve for x
    x = 1,341,626,177.94/42,006.50
  6. Step 6: Final answer
    x = 31,938.54

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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.