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Finding the Fourth Proportional to 34,472.32, 47,583.86 and 20,324.25

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Solution

The fourth proportional to 34,472.32, 47,583.86 and 20,324.25 is: 28,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,472.32 : 47,583.86 = 20,324.25 : x
  2. Step 2: Convert to fraction form
    34,472.32/47,583.86 = 20,324.25/x
  3. Step 3: Cross multiply
    34,472.32x = 47,583.86 × 20,324.25
  4. Step 4: Simplify right side
    34,472.32x = 967,106,164.98
  5. Step 5: Solve for x
    x = 967,106,164.98/34,472.32
  6. Step 6: Final answer
    x = 28,054.57

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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.