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Finding the Fourth Proportional to 32,223.12, 44,468.26 and 17,883.16

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Solution

The fourth proportional to 32,223.12, 44,468.26 and 17,883.16 is: 24,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,223.12 : 44,468.26 = 17,883.16 : x
  2. Step 2: Convert to fraction form
    32,223.12/44,468.26 = 17,883.16/x
  3. Step 3: Cross multiply
    32,223.12x = 44,468.26 × 17,883.16
  4. Step 4: Simplify right side
    32,223.12x = 795,233,008.50
  5. Step 5: Solve for x
    x = 795,233,008.50/32,223.12
  6. Step 6: Final answer
    x = 24,678.96

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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.