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Finding the Fourth Proportional to 55,142.98, 76,098.18 and 31,269.16

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Solution

The fourth proportional to 55,142.98, 76,098.18 and 31,269.16 is: 43,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,142.98 : 76,098.18 = 31,269.16 : x
  2. Step 2: Convert to fraction form
    55,142.98/76,098.18 = 31,269.16/x
  3. Step 3: Cross multiply
    55,142.98x = 76,098.18 × 31,269.16
  4. Step 4: Simplify right side
    55,142.98x = 2,379,526,166.13
  5. Step 5: Solve for x
    x = 2,379,526,166.13/55,142.98
  6. Step 6: Final answer
    x = 43,151.93

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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.