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Finding the Fourth Proportional to 77,395.01, 106,824.17 and 47,197

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Solution

The fourth proportional to 77,395.01, 106,824.17 and 47,197 is: 65,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,395.01 : 106,824.17 = 47,197 : x
  2. Step 2: Convert to fraction form
    77,395.01/106,824.17 = 47,197/x
  3. Step 3: Cross multiply
    77,395.01x = 106,824.17 × 47,197
  4. Step 4: Simplify right side
    77,395.01x = 5,041,780,351.49
  5. Step 5: Solve for x
    x = 5,041,780,351.49/77,395.01
  6. Step 6: Final answer
    x = 65,143.48

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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.