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Finding the Fourth Proportional to 97,571.91, 146,490.65 and 54,907.48

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Solution

The fourth proportional to 97,571.91, 146,490.65 and 54,907.48 is: 82,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,571.91 : 146,490.65 = 54,907.48 : x
  2. Step 2: Convert to fraction form
    97,571.91/146,490.65 = 54,907.48/x
  3. Step 3: Cross multiply
    97,571.91x = 146,490.65 × 54,907.48
  4. Step 4: Simplify right side
    97,571.91x = 8,043,432,649.38
  5. Step 5: Solve for x
    x = 8,043,432,649.38/97,571.91
  6. Step 6: Final answer
    x = 82,435.94

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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.