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Finding the Fourth Proportional to 77,540.28, 107,017.36 and 47,343.20

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Solution

The fourth proportional to 77,540.28, 107,017.36 and 47,343.20 is: 65,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,540.28 : 107,017.36 = 47,343.20 : x
  2. Step 2: Convert to fraction form
    77,540.28/107,017.36 = 47,343.20/x
  3. Step 3: Cross multiply
    77,540.28x = 107,017.36 × 47,343.20
  4. Step 4: Simplify right side
    77,540.28x = 5,066,544,277.95
  5. Step 5: Solve for x
    x = 5,066,544,277.95/77,540.28
  6. Step 6: Final answer
    x = 65,340.80

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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.