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Finding the Fourth Proportional to 41,509.73, 57,283.16 and 23,604.73

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Solution

The fourth proportional to 41,509.73, 57,283.16 and 23,604.73 is: 32,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.73 : 57,283.16 = 23,604.73 : x
  2. Step 2: Convert to fraction form
    41,509.73/57,283.16 = 23,604.73/x
  3. Step 3: Cross multiply
    41,509.73x = 57,283.16 × 23,604.73
  4. Step 4: Simplify right side
    41,509.73x = 1,352,153,525.35
  5. Step 5: Solve for x
    x = 1,352,153,525.35/41,509.73
  6. Step 6: Final answer
    x = 32,574.38

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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.