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Finding the Fourth Proportional to 55,146.75, 82,588.50 and 31,723.98

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Solution

The fourth proportional to 55,146.75, 82,588.50 and 31,723.98 is: 47,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,146.75 : 82,588.50 = 31,723.98 : x
  2. Step 2: Convert to fraction form
    55,146.75/82,588.50 = 31,723.98/x
  3. Step 3: Cross multiply
    55,146.75x = 82,588.50 × 31,723.98
  4. Step 4: Simplify right side
    55,146.75x = 2,620,035,922.23
  5. Step 5: Solve for x
    x = 2,620,035,922.23/55,146.75
  6. Step 6: Final answer
    x = 47,510.25

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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.