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Finding the Fourth Proportional to 96,217.84, 132,784.73 and 53,776.38

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Solution

The fourth proportional to 96,217.84, 132,784.73 and 53,776.38 is: 74,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,217.84 : 132,784.73 = 53,776.38 : x
  2. Step 2: Convert to fraction form
    96,217.84/132,784.73 = 53,776.38/x
  3. Step 3: Cross multiply
    96,217.84x = 132,784.73 × 53,776.38
  4. Step 4: Simplify right side
    96,217.84x = 7,140,682,098.68
  5. Step 5: Solve for x
    x = 7,140,682,098.68/96,217.84
  6. Step 6: Final answer
    x = 74,213.70

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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.