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Finding the Fourth Proportional to 47,149.36, 65,066 and 27,012.76

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Solution

The fourth proportional to 47,149.36, 65,066 and 27,012.76 is: 37,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,149.36 : 65,066 = 27,012.76 : x
  2. Step 2: Convert to fraction form
    47,149.36/65,066 = 27,012.76/x
  3. Step 3: Cross multiply
    47,149.36x = 65,066 × 27,012.76
  4. Step 4: Simplify right side
    47,149.36x = 1,757,612,242.16
  5. Step 5: Solve for x
    x = 1,757,612,242.16/47,149.36
  6. Step 6: Final answer
    x = 37,277.54

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