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Finding the Fourth Proportional to 31,921.64, 44,051.28 and 17,774.24

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Solution

The fourth proportional to 31,921.64, 44,051.28 and 17,774.24 is: 24,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921.64 : 44,051.28 = 17,774.24 : x
  2. Step 2: Convert to fraction form
    31,921.64/44,051.28 = 17,774.24/x
  3. Step 3: Cross multiply
    31,921.64x = 44,051.28 × 17,774.24
  4. Step 4: Simplify right side
    31,921.64x = 782,978,023.03
  5. Step 5: Solve for x
    x = 782,978,023.03/31,921.64
  6. Step 6: Final answer
    x = 24,528.13

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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.