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Finding the Fourth Proportional to 50,204.84, 69,284.85 and 30,065

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Solution

The fourth proportional to 50,204.84, 69,284.85 and 30,065 is: 41,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,204.84 : 69,284.85 = 30,065 : x
  2. Step 2: Convert to fraction form
    50,204.84/69,284.85 = 30,065/x
  3. Step 3: Cross multiply
    50,204.84x = 69,284.85 × 30,065
  4. Step 4: Simplify right side
    50,204.84x = 2,083,049,015.25
  5. Step 5: Solve for x
    x = 2,083,049,015.25/50,204.84
  6. Step 6: Final answer
    x = 41,491.00

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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.