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Finding the Fourth Proportional to 49,549, 68,361.08 and 28,035.76

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Solution

The fourth proportional to 49,549, 68,361.08 and 28,035.76 is: 38,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,549 : 68,361.08 = 28,035.76 : x
  2. Step 2: Convert to fraction form
    49,549/68,361.08 = 28,035.76/x
  3. Step 3: Cross multiply
    49,549x = 68,361.08 × 28,035.76
  4. Step 4: Simplify right side
    49,549x = 1,916,554,832.22
  5. Step 5: Solve for x
    x = 1,916,554,832.22/49,549
  6. Step 6: Final answer
    x = 38,679.99

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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.