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Finding the Fourth Proportional to 40,537.52, 55,940.64 and 22,632

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Solution

The fourth proportional to 40,537.52, 55,940.64 and 22,632 is: 31,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,537.52 : 55,940.64 = 22,632 : x
  2. Step 2: Convert to fraction form
    40,537.52/55,940.64 = 22,632/x
  3. Step 3: Cross multiply
    40,537.52x = 55,940.64 × 22,632
  4. Step 4: Simplify right side
    40,537.52x = 1,266,048,564.48
  5. Step 5: Solve for x
    x = 1,266,048,564.48/40,537.52
  6. Step 6: Final answer
    x = 31,231.52

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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.