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Finding the Fourth Proportional to 55,223.52, 76,206 and 31,349.76

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Solution

The fourth proportional to 55,223.52, 76,206 and 31,349.76 is: 43,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,223.52 : 76,206 = 31,349.76 : x
  2. Step 2: Convert to fraction form
    55,223.52/76,206 = 31,349.76/x
  3. Step 3: Cross multiply
    55,223.52x = 76,206 × 31,349.76
  4. Step 4: Simplify right side
    55,223.52x = 2,389,039,810.56
  5. Step 5: Solve for x
    x = 2,389,039,810.56/55,223.52
  6. Step 6: Final answer
    x = 43,261.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.