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Finding the Fourth Proportional to 51,783.90, 71,423.91 and 33,850.14

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Solution

The fourth proportional to 51,783.90, 71,423.91 and 33,850.14 is: 46,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,783.90 : 71,423.91 = 33,850.14 : x
  2. Step 2: Convert to fraction form
    51,783.90/71,423.91 = 33,850.14/x
  3. Step 3: Cross multiply
    51,783.90x = 71,423.91 × 33,850.14
  4. Step 4: Simplify right side
    51,783.90x = 2,417,709,352.85
  5. Step 5: Solve for x
    x = 2,417,709,352.85/51,783.90
  6. Step 6: Final answer
    x = 46,688.44

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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.