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Finding the Fourth Proportional to 49,458, 74,164.83 and 29,476.92

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Solution

The fourth proportional to 49,458, 74,164.83 and 29,476.92 is: 44,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,458 : 74,164.83 = 29,476.92 : x
  2. Step 2: Convert to fraction form
    49,458/74,164.83 = 29,476.92/x
  3. Step 3: Cross multiply
    49,458x = 74,164.83 × 29,476.92
  4. Step 4: Simplify right side
    49,458x = 2,186,150,760.72
  5. Step 5: Solve for x
    x = 2,186,150,760.72/49,458
  6. Step 6: Final answer
    x = 44,202.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.