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Finding the Fourth Proportional to 37,683, 52,003.20 and 20,688.84

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Solution

The fourth proportional to 37,683, 52,003.20 and 20,688.84 is: 28,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683 : 52,003.20 = 20,688.84 : x
  2. Step 2: Convert to fraction form
    37,683/52,003.20 = 20,688.84/x
  3. Step 3: Cross multiply
    37,683x = 52,003.20 × 20,688.84
  4. Step 4: Simplify right side
    37,683x = 1,075,885,884.29
  5. Step 5: Solve for x
    x = 1,075,885,884.29/37,683
  6. Step 6: Final answer
    x = 28,550.96

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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.