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Finding the Fourth Proportional to 82,643.84, 114,043.68 and 44,917.76

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Solution

The fourth proportional to 82,643.84, 114,043.68 and 44,917.76 is: 61,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,643.84 : 114,043.68 = 44,917.76 : x
  2. Step 2: Convert to fraction form
    82,643.84/114,043.68 = 44,917.76/x
  3. Step 3: Cross multiply
    82,643.84x = 114,043.68 × 44,917.76
  4. Step 4: Simplify right side
    82,643.84x = 5,122,586,647.76
  5. Step 5: Solve for x
    x = 5,122,586,647.76/82,643.84
  6. Step 6: Final answer
    x = 61,983.89

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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.