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Finding the Fourth Proportional to 96,227.88, 132,783.62 and 53,785

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Solution

The fourth proportional to 96,227.88, 132,783.62 and 53,785 is: 74,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,227.88 : 132,783.62 = 53,785 : x
  2. Step 2: Convert to fraction form
    96,227.88/132,783.62 = 53,785/x
  3. Step 3: Cross multiply
    96,227.88x = 132,783.62 × 53,785
  4. Step 4: Simplify right side
    96,227.88x = 7,141,767,001.70
  5. Step 5: Solve for x
    x = 7,141,767,001.70/96,227.88
  6. Step 6: Final answer
    x = 74,217.23

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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.