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Finding the Fourth Proportional to 37,683.50, 52,003.24 and 20,919.74

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Solution

The fourth proportional to 37,683.50, 52,003.24 and 20,919.74 is: 28,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683.50 : 52,003.24 = 20,919.74 : x
  2. Step 2: Convert to fraction form
    37,683.50/52,003.24 = 20,919.74/x
  3. Step 3: Cross multiply
    37,683.50x = 52,003.24 × 20,919.74
  4. Step 4: Simplify right side
    37,683.50x = 1,087,894,259.96
  5. Step 5: Solve for x
    x = 1,087,894,259.96/37,683.50
  6. Step 6: Final answer
    x = 28,869.25

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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.