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Finding the Fourth Proportional to 49,812.70, 68,710.08 and 29,654.50

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Solution

The fourth proportional to 49,812.70, 68,710.08 and 29,654.50 is: 40,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812.70 : 68,710.08 = 29,654.50 : x
  2. Step 2: Convert to fraction form
    49,812.70/68,710.08 = 29,654.50/x
  3. Step 3: Cross multiply
    49,812.70x = 68,710.08 × 29,654.50
  4. Step 4: Simplify right side
    49,812.70x = 2,037,563,067.36
  5. Step 5: Solve for x
    x = 2,037,563,067.36/49,812.70
  6. Step 6: Final answer
    x = 40,904.49

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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.