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Finding the Fourth Proportional to 32,017.32, 48,025.93 and 17,794.84

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Solution

The fourth proportional to 32,017.32, 48,025.93 and 17,794.84 is: 26,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.32 : 48,025.93 = 17,794.84 : x
  2. Step 2: Convert to fraction form
    32,017.32/48,025.93 = 17,794.84/x
  3. Step 3: Cross multiply
    32,017.32x = 48,025.93 × 17,794.84
  4. Step 4: Simplify right side
    32,017.32x = 854,613,740.20
  5. Step 5: Solve for x
    x = 854,613,740.20/32,017.32
  6. Step 6: Final answer
    x = 26,692.23

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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.