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Finding the Fourth Proportional to 82,709.84, 114,102.97 and 50,859.92

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Solution

The fourth proportional to 82,709.84, 114,102.97 and 50,859.92 is: 70,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709.84 : 114,102.97 = 50,859.92 : x
  2. Step 2: Convert to fraction form
    82,709.84/114,102.97 = 50,859.92/x
  3. Step 3: Cross multiply
    82,709.84x = 114,102.97 × 50,859.92
  4. Step 4: Simplify right side
    82,709.84x = 5,803,267,228.30
  5. Step 5: Solve for x
    x = 5,803,267,228.30/82,709.84
  6. Step 6: Final answer
    x = 70,164.17

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1.5x scale

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.