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Finding the Fourth Proportional to 47,617.74, 65,713.08 and 27,478.80

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Solution

The fourth proportional to 47,617.74, 65,713.08 and 27,478.80 is: 37,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,617.74 : 65,713.08 = 27,478.80 : x
  2. Step 2: Convert to fraction form
    47,617.74/65,713.08 = 27,478.80/x
  3. Step 3: Cross multiply
    47,617.74x = 65,713.08 × 27,478.80
  4. Step 4: Simplify right side
    47,617.74x = 1,805,716,116.74
  5. Step 5: Solve for x
    x = 1,805,716,116.74/47,617.74
  6. Step 6: Final answer
    x = 37,921.08

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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.