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Finding the Fourth Proportional to 41,647.53, 57,474.05 and 22,784.25

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Solution

The fourth proportional to 41,647.53, 57,474.05 and 22,784.25 is: 31,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,647.53 : 57,474.05 = 22,784.25 : x
  2. Step 2: Convert to fraction form
    41,647.53/57,474.05 = 22,784.25/x
  3. Step 3: Cross multiply
    41,647.53x = 57,474.05 × 22,784.25
  4. Step 4: Simplify right side
    41,647.53x = 1,309,503,009.79
  5. Step 5: Solve for x
    x = 1,309,503,009.79/41,647.53
  6. Step 6: Final answer
    x = 31,442.51

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1.5x scale

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.