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Finding the Fourth Proportional to 49,534.72, 74,240.64 and 34,912

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Solution

The fourth proportional to 49,534.72, 74,240.64 and 34,912 is: 52,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,534.72 : 74,240.64 = 34,912 : x
  2. Step 2: Convert to fraction form
    49,534.72/74,240.64 = 34,912/x
  3. Step 3: Cross multiply
    49,534.72x = 74,240.64 × 34,912
  4. Step 4: Simplify right side
    49,534.72x = 2,591,889,223.68
  5. Step 5: Solve for x
    x = 2,591,889,223.68/49,534.72
  6. Step 6: Final answer
    x = 52,324.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.