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Finding the Fourth Proportional to 77,100.20, 106,399.04 and 45,269.64

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Solution

The fourth proportional to 77,100.20, 106,399.04 and 45,269.64 is: 62,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100.20 : 106,399.04 = 45,269.64 : x
  2. Step 2: Convert to fraction form
    77,100.20/106,399.04 = 45,269.64/x
  3. Step 3: Cross multiply
    77,100.20x = 106,399.04 × 45,269.64
  4. Step 4: Simplify right side
    77,100.20x = 4,816,646,237.15
  5. Step 5: Solve for x
    x = 4,816,646,237.15/77,100.20
  6. Step 6: Final answer
    x = 62,472.55

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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.