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Finding the Fourth Proportional to 55,143.98, 76,099.56 and 31,270.16

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Solution

The fourth proportional to 55,143.98, 76,099.56 and 31,270.16 is: 43,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,143.98 : 76,099.56 = 31,270.16 : x
  2. Step 2: Convert to fraction form
    55,143.98/76,099.56 = 31,270.16/x
  3. Step 3: Cross multiply
    55,143.98x = 76,099.56 × 31,270.16
  4. Step 4: Simplify right side
    55,143.98x = 2,379,645,417.13
  5. Step 5: Solve for x
    x = 2,379,645,417.13/55,143.98
  6. Step 6: Final answer
    x = 43,153.31

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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.