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Finding the Fourth Proportional to 50,849.17, 70,084.30 and 33,823

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Solution

The fourth proportional to 50,849.17, 70,084.30 and 33,823 is: 46,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,849.17 : 70,084.30 = 33,823 : x
  2. Step 2: Convert to fraction form
    50,849.17/70,084.30 = 33,823/x
  3. Step 3: Cross multiply
    50,849.17x = 70,084.30 × 33,823
  4. Step 4: Simplify right side
    50,849.17x = 2,370,461,278.90
  5. Step 5: Solve for x
    x = 2,370,461,278.90/50,849.17
  6. Step 6: Final answer
    x = 46,617.50

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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.