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Finding the Fourth Proportional to 19,978,305.75, 27,570,258.77 and 10,811,145.33

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Solution

The fourth proportional to 19,978,305.75, 27,570,258.77 and 10,811,145.33 is: 14,919,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978,305.75 : 27,570,258.77 = 10,811,145.33 : x
  2. Step 2: Convert to fraction form
    19,978,305.75/27,570,258.77 = 10,811,145.33/x
  3. Step 3: Cross multiply
    19,978,305.75x = 27,570,258.77 × 10,811,145.33
  4. Step 4: Simplify right side
    19,978,305.75x = 298,066,074,294,121.31
  5. Step 5: Solve for x
    x = 298,066,074,294,121.31/19,978,305.75
  6. Step 6: Final answer
    x = 14,919,487.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.