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Finding the Fourth Proportional to 35,760.52, 49,349.50 and 23,185.24

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Solution

The fourth proportional to 35,760.52, 49,349.50 and 23,185.24 is: 31,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,760.52 : 49,349.50 = 23,185.24 : x
  2. Step 2: Convert to fraction form
    35,760.52/49,349.50 = 23,185.24/x
  3. Step 3: Cross multiply
    35,760.52x = 49,349.50 × 23,185.24
  4. Step 4: Simplify right side
    35,760.52x = 1,144,180,001.38
  5. Step 5: Solve for x
    x = 1,144,180,001.38/35,760.52
  6. Step 6: Final answer
    x = 31,995.62

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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.