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Finding the Fourth Proportional to 40,563.84, 55,968.09 and 24,647.34

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Solution

The fourth proportional to 40,563.84, 55,968.09 and 24,647.34 is: 34,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,563.84 : 55,968.09 = 24,647.34 : x
  2. Step 2: Convert to fraction form
    40,563.84/55,968.09 = 24,647.34/x
  3. Step 3: Cross multiply
    40,563.84x = 55,968.09 × 24,647.34
  4. Step 4: Simplify right side
    40,563.84x = 1,379,464,543.38
  5. Step 5: Solve for x
    x = 1,379,464,543.38/40,563.84
  6. Step 6: Final answer
    x = 34,007.25

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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.