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Finding the Fourth Proportional to 32,843.98, 49,261.32 and 10,657.54

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Solution

The fourth proportional to 32,843.98, 49,261.32 and 10,657.54 is: 15,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.98 : 49,261.32 = 10,657.54 : x
  2. Step 2: Convert to fraction form
    32,843.98/49,261.32 = 10,657.54/x
  3. Step 3: Cross multiply
    32,843.98x = 49,261.32 × 10,657.54
  4. Step 4: Simplify right side
    32,843.98x = 525,004,488.35
  5. Step 5: Solve for x
    x = 525,004,488.35/32,843.98
  6. Step 6: Final answer
    x = 15,984.80

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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.