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Finding the Fourth Proportional to 56,485.84, 84,728.90 and 23,182.54

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Solution

The fourth proportional to 56,485.84, 84,728.90 and 23,182.54 is: 34,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,485.84 : 84,728.90 = 23,182.54 : x
  2. Step 2: Convert to fraction form
    56,485.84/84,728.90 = 23,182.54/x
  3. Step 3: Cross multiply
    56,485.84x = 84,728.90 × 23,182.54
  4. Step 4: Simplify right side
    56,485.84x = 1,964,230,573.85
  5. Step 5: Solve for x
    x = 1,964,230,573.85/56,485.84
  6. Step 6: Final answer
    x = 34,773.86

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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.