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Finding the Fourth Proportional to 31,538.88, 43,500.24 and 21,464.16

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Solution

The fourth proportional to 31,538.88, 43,500.24 and 21,464.16 is: 29,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.88 : 43,500.24 = 21,464.16 : x
  2. Step 2: Convert to fraction form
    31,538.88/43,500.24 = 21,464.16/x
  3. Step 3: Cross multiply
    31,538.88x = 43,500.24 × 21,464.16
  4. Step 4: Simplify right side
    31,538.88x = 933,696,111.40
  5. Step 5: Solve for x
    x = 933,696,111.40/31,538.88
  6. Step 6: Final answer
    x = 29,604.61

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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.