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Finding the Fourth Proportional to 30,667,544.80, 45,962,242.80 and 16,297,496.80

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Solution

The fourth proportional to 30,667,544.80, 45,962,242.80 and 16,297,496.80 is: 24,425,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667,544.80 : 45,962,242.80 = 16,297,496.80 : x
  2. Step 2: Convert to fraction form
    30,667,544.80/45,962,242.80 = 16,297,496.80/x
  3. Step 3: Cross multiply
    30,667,544.80x = 45,962,242.80 × 16,297,496.80
  4. Step 4: Simplify right side
    30,667,544.80x = 749,069,504,953,823
  5. Step 5: Solve for x
    x = 749,069,504,953,823/30,667,544.80
  6. Step 6: Final answer
    x = 24,425,480.09

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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.