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Finding the Fourth Proportional to 89,490.83, 123,497.43 and 49,205.30

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Solution

The fourth proportional to 89,490.83, 123,497.43 and 49,205.30 is: 67,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,490.83 : 123,497.43 = 49,205.30 : x
  2. Step 2: Convert to fraction form
    89,490.83/123,497.43 = 49,205.30/x
  3. Step 3: Cross multiply
    89,490.83x = 123,497.43 × 49,205.30
  4. Step 4: Simplify right side
    89,490.83x = 6,076,728,092.38
  5. Step 5: Solve for x
    x = 6,076,728,092.38/89,490.83
  6. Step 6: Final answer
    x = 67,903.36

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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.