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Finding the Fourth Proportional to 96,853.88, 133,658.38 and 53,833.38

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Solution

The fourth proportional to 96,853.88, 133,658.38 and 53,833.38 is: 74,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,853.88 : 133,658.38 = 53,833.38 : x
  2. Step 2: Convert to fraction form
    96,853.88/133,658.38 = 53,833.38/x
  3. Step 3: Cross multiply
    96,853.88x = 133,658.38 × 53,833.38
  4. Step 4: Simplify right side
    96,853.88x = 7,195,282,360.72
  5. Step 5: Solve for x
    x = 7,195,282,360.72/96,853.88
  6. Step 6: Final answer
    x = 74,290.08

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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.