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Finding the Fourth Proportional to 77,715.66, 116,561.07 and 27,786.45

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Solution

The fourth proportional to 77,715.66, 116,561.07 and 27,786.45 is: 41,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,715.66 : 116,561.07 = 27,786.45 : x
  2. Step 2: Convert to fraction form
    77,715.66/116,561.07 = 27,786.45/x
  3. Step 3: Cross multiply
    77,715.66x = 116,561.07 × 27,786.45
  4. Step 4: Simplify right side
    77,715.66x = 3,238,818,343.50
  5. Step 5: Solve for x
    x = 3,238,818,343.50/77,715.66
  6. Step 6: Final answer
    x = 41,675.23

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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.