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Finding the Fourth Proportional to 53,760.56, 80,512.58 and 31,223.53

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Solution

The fourth proportional to 53,760.56, 80,512.58 and 31,223.53 is: 46,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,760.56 : 80,512.58 = 31,223.53 : x
  2. Step 2: Convert to fraction form
    53,760.56/80,512.58 = 31,223.53/x
  3. Step 3: Cross multiply
    53,760.56x = 80,512.58 × 31,223.53
  4. Step 4: Simplify right side
    53,760.56x = 2,513,886,682.82
  5. Step 5: Solve for x
    x = 2,513,886,682.82/53,760.56
  6. Step 6: Final answer
    x = 46,760.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.