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Finding the Fourth Proportional to 32,577.50, 48,843.84 and 12,858.32

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Solution

The fourth proportional to 32,577.50, 48,843.84 and 12,858.32 is: 19,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.50 : 48,843.84 = 12,858.32 : x
  2. Step 2: Convert to fraction form
    32,577.50/48,843.84 = 12,858.32/x
  3. Step 3: Cross multiply
    32,577.50x = 48,843.84 × 12,858.32
  4. Step 4: Simplify right side
    32,577.50x = 628,049,724.75
  5. Step 5: Solve for x
    x = 628,049,724.75/32,577.50
  6. Step 6: Final answer
    x = 19,278.63

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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.