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Finding the Fourth Proportional to 77,384.57, 116,066.52 and 35,219.21

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Solution

The fourth proportional to 77,384.57, 116,066.52 and 35,219.21 is: 52,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384.57 : 116,066.52 = 35,219.21 : x
  2. Step 2: Convert to fraction form
    77,384.57/116,066.52 = 35,219.21/x
  3. Step 3: Cross multiply
    77,384.57x = 116,066.52 × 35,219.21
  4. Step 4: Simplify right side
    77,384.57x = 4,087,770,561.52
  5. Step 5: Solve for x
    x = 4,087,770,561.52/77,384.57
  6. Step 6: Final answer
    x = 52,824.11

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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.