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Finding the Fourth Proportional to 30,922,204.41, 46,375,642.49 and 10,451,469.51

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Solution

The fourth proportional to 30,922,204.41, 46,375,642.49 and 10,451,469.51 is: 15,674,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922,204.41 : 46,375,642.49 = 10,451,469.51 : x
  2. Step 2: Convert to fraction form
    30,922,204.41/46,375,642.49 = 10,451,469.51/x
  3. Step 3: Cross multiply
    30,922,204.41x = 46,375,642.49 × 10,451,469.51
  4. Step 4: Simplify right side
    30,922,204.41x = 484,693,613,438,638.12
  5. Step 5: Solve for x
    x = 484,693,613,438,638.12/30,922,204.41
  6. Step 6: Final answer
    x = 15,674,613.85

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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.