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Finding the Fourth Proportional to 38,731.50, 53,449.47 and 21,964.50

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Solution

The fourth proportional to 38,731.50, 53,449.47 and 21,964.50 is: 30,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,731.50 : 53,449.47 = 21,964.50 : x
  2. Step 2: Convert to fraction form
    38,731.50/53,449.47 = 21,964.50/x
  3. Step 3: Cross multiply
    38,731.50x = 53,449.47 × 21,964.50
  4. Step 4: Simplify right side
    38,731.50x = 1,173,990,883.82
  5. Step 5: Solve for x
    x = 1,173,990,883.82/38,731.50
  6. Step 6: Final answer
    x = 30,311.01

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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.