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Finding the Fourth Proportional to 33,648.72, 50,477.70 and 11,456.16

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Solution

The fourth proportional to 33,648.72, 50,477.70 and 11,456.16 is: 17,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648.72 : 50,477.70 = 11,456.16 : x
  2. Step 2: Convert to fraction form
    33,648.72/50,477.70 = 11,456.16/x
  3. Step 3: Cross multiply
    33,648.72x = 50,477.70 × 11,456.16
  4. Step 4: Simplify right side
    33,648.72x = 578,280,607.63
  5. Step 5: Solve for x
    x = 578,280,607.63/33,648.72
  6. Step 6: Final answer
    x = 17,185.81

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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.