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Finding the Fourth Proportional to 41,369.84, 57,089.16 and 23,466.48

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Solution

The fourth proportional to 41,369.84, 57,089.16 and 23,466.48 is: 32,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,369.84 : 57,089.16 = 23,466.48 : x
  2. Step 2: Convert to fraction form
    41,369.84/57,089.16 = 23,466.48/x
  3. Step 3: Cross multiply
    41,369.84x = 57,089.16 × 23,466.48
  4. Step 4: Simplify right side
    41,369.84x = 1,339,681,631.36
  5. Step 5: Solve for x
    x = 1,339,681,631.36/41,369.84
  6. Step 6: Final answer
    x = 32,383.05

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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.