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Finding the Fourth Proportional to 33,085.98, 49,629.24 and 9,712.80

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Solution

The fourth proportional to 33,085.98, 49,629.24 and 9,712.80 is: 14,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.98 : 49,629.24 = 9,712.80 : x
  2. Step 2: Convert to fraction form
    33,085.98/49,629.24 = 9,712.80/x
  3. Step 3: Cross multiply
    33,085.98x = 49,629.24 × 9,712.80
  4. Step 4: Simplify right side
    33,085.98x = 482,038,882.27
  5. Step 5: Solve for x
    x = 482,038,882.27/33,085.98
  6. Step 6: Final answer
    x = 14,569.28

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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.