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Finding the Fourth Proportional to 50,773.79, 70,083.01 and 32,870

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Solution

The fourth proportional to 50,773.79, 70,083.01 and 32,870 is: 45,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,773.79 : 70,083.01 = 32,870 : x
  2. Step 2: Convert to fraction form
    50,773.79/70,083.01 = 32,870/x
  3. Step 3: Cross multiply
    50,773.79x = 70,083.01 × 32,870
  4. Step 4: Simplify right side
    50,773.79x = 2,303,628,538.70
  5. Step 5: Solve for x
    x = 2,303,628,538.70/50,773.79
  6. Step 6: Final answer
    x = 45,370.43

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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.