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Finding the Fourth Proportional to 77,206.77, 106,536.39 and 43,217.16

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Solution

The fourth proportional to 77,206.77, 106,536.39 and 43,217.16 is: 59,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,206.77 : 106,536.39 = 43,217.16 : x
  2. Step 2: Convert to fraction form
    77,206.77/106,536.39 = 43,217.16/x
  3. Step 3: Cross multiply
    77,206.77x = 106,536.39 × 43,217.16
  4. Step 4: Simplify right side
    77,206.77x = 4,604,200,212.45
  5. Step 5: Solve for x
    x = 4,604,200,212.45/77,206.77
  6. Step 6: Final answer
    x = 59,634.67

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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.