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Finding the Fourth Proportional to 89,092.52, 133,638.74 and 35,784.48

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Solution

The fourth proportional to 89,092.52, 133,638.74 and 35,784.48 is: 53,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,092.52 : 133,638.74 = 35,784.48 : x
  2. Step 2: Convert to fraction form
    89,092.52/133,638.74 = 35,784.48/x
  3. Step 3: Cross multiply
    89,092.52x = 133,638.74 × 35,784.48
  4. Step 4: Simplify right side
    89,092.52x = 4,782,192,639.83
  5. Step 5: Solve for x
    x = 4,782,192,639.83/89,092.52
  6. Step 6: Final answer
    x = 53,676.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.