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Finding the Fourth Proportional to 45,168, 62,331.84 and 25,296

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Solution

The fourth proportional to 45,168, 62,331.84 and 25,296 is: 34,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,168 : 62,331.84 = 25,296 : x
  2. Step 2: Convert to fraction form
    45,168/62,331.84 = 25,296/x
  3. Step 3: Cross multiply
    45,168x = 62,331.84 × 25,296
  4. Step 4: Simplify right side
    45,168x = 1,576,746,224.64
  5. Step 5: Solve for x
    x = 1,576,746,224.64/45,168
  6. Step 6: Final answer
    x = 34,908.48

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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.