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Finding the Fourth Proportional to 36,681.50, 55,022.34 and 13,307.96

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Solution

The fourth proportional to 36,681.50, 55,022.34 and 13,307.96 is: 19,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,681.50 : 55,022.34 = 13,307.96 : x
  2. Step 2: Convert to fraction form
    36,681.50/55,022.34 = 13,307.96/x
  3. Step 3: Cross multiply
    36,681.50x = 55,022.34 × 13,307.96
  4. Step 4: Simplify right side
    36,681.50x = 732,235,099.83
  5. Step 5: Solve for x
    x = 732,235,099.83/36,681.50
  6. Step 6: Final answer
    x = 19,961.97

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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.