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Finding the Fourth Proportional to 41,509.90, 57,283.38 and 23,604.90

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Solution

The fourth proportional to 41,509.90, 57,283.38 and 23,604.90 is: 32,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.90 : 57,283.38 = 23,604.90 : x
  2. Step 2: Convert to fraction form
    41,509.90/57,283.38 = 23,604.90/x
  3. Step 3: Cross multiply
    41,509.90x = 57,283.38 × 23,604.90
  4. Step 4: Simplify right side
    41,509.90x = 1,352,168,456.56
  5. Step 5: Solve for x
    x = 1,352,168,456.56/41,509.90
  6. Step 6: Final answer
    x = 32,574.60

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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.