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Finding the Fourth Proportional to 49,202, 67,898.40 and 27,981.24

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Solution

The fourth proportional to 49,202, 67,898.40 and 27,981.24 is: 38,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202 : 67,898.40 = 27,981.24 : x
  2. Step 2: Convert to fraction form
    49,202/67,898.40 = 27,981.24/x
  3. Step 3: Cross multiply
    49,202x = 67,898.40 × 27,981.24
  4. Step 4: Simplify right side
    49,202x = 1,899,881,426.02
  5. Step 5: Solve for x
    x = 1,899,881,426.02/49,202
  6. Step 6: Final answer
    x = 38,613.91

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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.