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Finding the Fourth Proportional to 82,640.84, 114,047.14 and 46,343.84

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Solution

The fourth proportional to 82,640.84, 114,047.14 and 46,343.84 is: 63,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,640.84 : 114,047.14 = 46,343.84 : x
  2. Step 2: Convert to fraction form
    82,640.84/114,047.14 = 46,343.84/x
  3. Step 3: Cross multiply
    82,640.84x = 114,047.14 × 46,343.84
  4. Step 4: Simplify right side
    82,640.84x = 5,285,382,408.62
  5. Step 5: Solve for x
    x = 5,285,382,408.62/82,640.84
  6. Step 6: Final answer
    x = 63,956.06

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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.