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Finding the Fourth Proportional to 49,983,612.94, 74,978,709.10 and 13,096,406.13

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Solution

The fourth proportional to 49,983,612.94, 74,978,709.10 and 13,096,406.13 is: 19,645,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,983,612.94 : 74,978,709.10 = 13,096,406.13 : x
  2. Step 2: Convert to fraction form
    49,983,612.94/74,978,709.10 = 13,096,406.13/x
  3. Step 3: Cross multiply
    49,983,612.94x = 74,978,709.10 × 13,096,406.13
  4. Step 4: Simplify right side
    49,983,612.94x = 981,951,625,162,815.62
  5. Step 5: Solve for x
    x = 981,951,625,162,815.62/49,983,612.94
  6. Step 6: Final answer
    x = 19,645,471.13

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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.