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Finding the Fourth Proportional to 61,234.92, 91,766.80 and 33,094.30

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Solution

The fourth proportional to 61,234.92, 91,766.80 and 33,094.30 is: 49,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,234.92 : 91,766.80 = 33,094.30 : x
  2. Step 2: Convert to fraction form
    61,234.92/91,766.80 = 33,094.30/x
  3. Step 3: Cross multiply
    61,234.92x = 91,766.80 × 33,094.30
  4. Step 4: Simplify right side
    61,234.92x = 3,036,958,009.24
  5. Step 5: Solve for x
    x = 3,036,958,009.24/61,234.92
  6. Step 6: Final answer
    x = 49,595.20

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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.