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Finding the Fourth Proportional to 49,210, 67,913.45 and 27,996.10

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Solution

The fourth proportional to 49,210, 67,913.45 and 27,996.10 is: 38,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,210 : 67,913.45 = 27,996.10 : x
  2. Step 2: Convert to fraction form
    49,210/67,913.45 = 27,996.10/x
  3. Step 3: Cross multiply
    49,210x = 67,913.45 × 27,996.10
  4. Step 4: Simplify right side
    49,210x = 1,901,311,737.55
  5. Step 5: Solve for x
    x = 1,901,311,737.55/49,210
  6. Step 6: Final answer
    x = 38,636.69

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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.