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Finding the Fourth Proportional to 37,978,843.80, 56,968,266.42 and 9,224,785.64

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Solution

The fourth proportional to 37,978,843.80, 56,968,266.42 and 9,224,785.64 is: 13,837,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978,843.80 : 56,968,266.42 = 9,224,785.64 : x
  2. Step 2: Convert to fraction form
    37,978,843.80/56,968,266.42 = 9,224,785.64/x
  3. Step 3: Cross multiply
    37,978,843.80x = 56,968,266.42 × 9,224,785.64
  4. Step 4: Simplify right side
    37,978,843.80x = 525,520,046,006,910.25
  5. Step 5: Solve for x
    x = 525,520,046,006,910.25/37,978,843.80
  6. Step 6: Final answer
    x = 13,837,178.63

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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.