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Finding the Fourth Proportional to 77,133.49, 115,739.17 and 34,986.71

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Solution

The fourth proportional to 77,133.49, 115,739.17 and 34,986.71 is: 52,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,133.49 : 115,739.17 = 34,986.71 : x
  2. Step 2: Convert to fraction form
    77,133.49/115,739.17 = 34,986.71/x
  3. Step 3: Cross multiply
    77,133.49x = 115,739.17 × 34,986.71
  4. Step 4: Simplify right side
    77,133.49x = 4,049,332,197.73
  5. Step 5: Solve for x
    x = 4,049,332,197.73/77,133.49
  6. Step 6: Final answer
    x = 52,497.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.