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Finding the Fourth Proportional to 33,102.89, 49,657.39 and 9,410.93

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Solution

The fourth proportional to 33,102.89, 49,657.39 and 9,410.93 is: 14,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.89 : 49,657.39 = 9,410.93 : x
  2. Step 2: Convert to fraction form
    33,102.89/49,657.39 = 9,410.93/x
  3. Step 3: Cross multiply
    33,102.89x = 49,657.39 × 9,410.93
  4. Step 4: Simplify right side
    33,102.89x = 467,321,949.46
  5. Step 5: Solve for x
    x = 467,321,949.46/33,102.89
  6. Step 6: Final answer
    x = 14,117.26

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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.