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Finding the Fourth Proportional to 86,527.84, 119,385.85 and 50,698.60

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Solution

The fourth proportional to 86,527.84, 119,385.85 and 50,698.60 is: 69,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,527.84 : 119,385.85 = 50,698.60 : x
  2. Step 2: Convert to fraction form
    86,527.84/119,385.85 = 50,698.60/x
  3. Step 3: Cross multiply
    86,527.84x = 119,385.85 × 50,698.60
  4. Step 4: Simplify right side
    86,527.84x = 6,052,694,604.39
  5. Step 5: Solve for x
    x = 6,052,694,604.39/86,527.84
  6. Step 6: Final answer
    x = 69,950.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.