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Finding the Fourth Proportional to 32,891.96, 49,338.54 and 10,705.25

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Solution

The fourth proportional to 32,891.96, 49,338.54 and 10,705.25 is: 16,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,891.96 : 49,338.54 = 10,705.25 : x
  2. Step 2: Convert to fraction form
    32,891.96/49,338.54 = 10,705.25/x
  3. Step 3: Cross multiply
    32,891.96x = 49,338.54 × 10,705.25
  4. Step 4: Simplify right side
    32,891.96x = 528,181,158.64
  5. Step 5: Solve for x
    x = 528,181,158.64/32,891.96
  6. Step 6: Final answer
    x = 16,058.07

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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.