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Finding the Fourth Proportional to 37,701.96, 56,553.75 and 11,406.66

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Solution

The fourth proportional to 37,701.96, 56,553.75 and 11,406.66 is: 17,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,701.96 : 56,553.75 = 11,406.66 : x
  2. Step 2: Convert to fraction form
    37,701.96/56,553.75 = 11,406.66/x
  3. Step 3: Cross multiply
    37,701.96x = 56,553.75 × 11,406.66
  4. Step 4: Simplify right side
    37,701.96x = 645,089,397.98
  5. Step 5: Solve for x
    x = 645,089,397.98/37,701.96
  6. Step 6: Final answer
    x = 17,110.24

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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.