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Finding the Fourth Proportional to 49,202, 67,898.76 and 29,330

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Solution

The fourth proportional to 49,202, 67,898.76 and 29,330 is: 40,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202 : 67,898.76 = 29,330 : x
  2. Step 2: Convert to fraction form
    49,202/67,898.76 = 29,330/x
  3. Step 3: Cross multiply
    49,202x = 67,898.76 × 29,330
  4. Step 4: Simplify right side
    49,202x = 1,991,470,630.80
  5. Step 5: Solve for x
    x = 1,991,470,630.80/49,202
  6. Step 6: Final answer
    x = 40,475.40

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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.