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Finding the Fourth Proportional to 34,396.06, 47,466.52 and 20,056.47

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Solution

The fourth proportional to 34,396.06, 47,466.52 and 20,056.47 is: 27,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,396.06 : 47,466.52 = 20,056.47 : x
  2. Step 2: Convert to fraction form
    34,396.06/47,466.52 = 20,056.47/x
  3. Step 3: Cross multiply
    34,396.06x = 47,466.52 × 20,056.47
  4. Step 4: Simplify right side
    34,396.06x = 952,010,834.38
  5. Step 5: Solve for x
    x = 952,010,834.38/34,396.06
  6. Step 6: Final answer
    x = 27,677.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.