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Finding the Fourth Proportional to 71,696.90, 98,942.98 and 39,435

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Solution

The fourth proportional to 71,696.90, 98,942.98 and 39,435 is: 54,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.90 : 98,942.98 = 39,435 : x
  2. Step 2: Convert to fraction form
    71,696.90/98,942.98 = 39,435/x
  3. Step 3: Cross multiply
    71,696.90x = 98,942.98 × 39,435
  4. Step 4: Simplify right side
    71,696.90x = 3,901,816,416.30
  5. Step 5: Solve for x
    x = 3,901,816,416.30/71,696.90
  6. Step 6: Final answer
    x = 54,420.99

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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.