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Finding the Fourth Proportional to 43,085.98, 64,628.97 and 19,696

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Solution

The fourth proportional to 43,085.98, 64,628.97 and 19,696 is: 29,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,085.98 : 64,628.97 = 19,696 : x
  2. Step 2: Convert to fraction form
    43,085.98/64,628.97 = 19,696/x
  3. Step 3: Cross multiply
    43,085.98x = 64,628.97 × 19,696
  4. Step 4: Simplify right side
    43,085.98x = 1,272,932,193.12
  5. Step 5: Solve for x
    x = 1,272,932,193.12/43,085.98
  6. Step 6: Final answer
    x = 29,544

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.