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Finding the Fourth Proportional to 51,174.66, 76,729.02 and 21,584.58

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Solution

The fourth proportional to 51,174.66, 76,729.02 and 21,584.58 is: 32,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,174.66 : 76,729.02 = 21,584.58 : x
  2. Step 2: Convert to fraction form
    51,174.66/76,729.02 = 21,584.58/x
  3. Step 3: Cross multiply
    51,174.66x = 76,729.02 × 21,584.58
  4. Step 4: Simplify right side
    51,174.66x = 1,656,163,670.51
  5. Step 5: Solve for x
    x = 1,656,163,670.51/51,174.66
  6. Step 6: Final answer
    x = 32,362.96

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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.