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Finding the Fourth Proportional to 49,983,614.45, 74,978,711.36 and 13,096,407.63

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Solution

The fourth proportional to 49,983,614.45, 74,978,711.36 and 13,096,407.63 is: 19,645,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,983,614.45 : 74,978,711.36 = 13,096,407.63 : x
  2. Step 2: Convert to fraction form
    49,983,614.45/74,978,711.36 = 13,096,407.63/x
  3. Step 3: Cross multiply
    49,983,614.45x = 74,978,711.36 × 13,096,407.63
  4. Step 4: Simplify right side
    49,983,614.45x = 981,951,767,477,189.75
  5. Step 5: Solve for x
    x = 981,951,767,477,189.75/49,983,614.45
  6. Step 6: Final answer
    x = 19,645,473.39

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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.