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Finding the Fourth Proportional to 38,731.50, 53,441.24 and 22,810.14

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Solution

The fourth proportional to 38,731.50, 53,441.24 and 22,810.14 is: 31,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,731.50 : 53,441.24 = 22,810.14 : x
  2. Step 2: Convert to fraction form
    38,731.50/53,441.24 = 22,810.14/x
  3. Step 3: Cross multiply
    38,731.50x = 53,441.24 × 22,810.14
  4. Step 4: Simplify right side
    38,731.50x = 1,219,002,052.12
  5. Step 5: Solve for x
    x = 1,219,002,052.12/38,731.50
  6. Step 6: Final answer
    x = 31,473.14

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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.