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Finding the Fourth Proportional to 50,685.64, 76,021.98 and 21,097.96

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Solution

The fourth proportional to 50,685.64, 76,021.98 and 21,097.96 is: 31,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,685.64 : 76,021.98 = 21,097.96 : x
  2. Step 2: Convert to fraction form
    50,685.64/76,021.98 = 21,097.96/x
  3. Step 3: Cross multiply
    50,685.64x = 76,021.98 × 21,097.96
  4. Step 4: Simplify right side
    50,685.64x = 1,603,908,693.16
  5. Step 5: Solve for x
    x = 1,603,908,693.16/50,685.64
  6. Step 6: Final answer
    x = 31,644.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.