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Finding the Fourth Proportional to 98,383.77, 147,684.92 and 50,986.17

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Solution

The fourth proportional to 98,383.77, 147,684.92 and 50,986.17 is: 76,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,383.77 : 147,684.92 = 50,986.17 : x
  2. Step 2: Convert to fraction form
    98,383.77/147,684.92 = 50,986.17/x
  3. Step 3: Cross multiply
    98,383.77x = 147,684.92 × 50,986.17
  4. Step 4: Simplify right side
    98,383.77x = 7,529,888,182.63
  5. Step 5: Solve for x
    x = 7,529,888,182.63/98,383.77
  6. Step 6: Final answer
    x = 76,535.88

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Why These Related Problems?

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