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Finding the Fourth Proportional to 32,056.64, 44,240 and 17,716.32

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Solution

The fourth proportional to 32,056.64, 44,240 and 17,716.32 is: 24,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056.64 : 44,240 = 17,716.32 : x
  2. Step 2: Convert to fraction form
    32,056.64/44,240 = 17,716.32/x
  3. Step 3: Cross multiply
    32,056.64x = 44,240 × 17,716.32
  4. Step 4: Simplify right side
    32,056.64x = 783,769,996.80
  5. Step 5: Solve for x
    x = 783,769,996.80/32,056.64
  6. Step 6: Final answer
    x = 24,449.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.