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Finding the Fourth Proportional to 34,166.34, 47,148.48 and 20,028.60

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Solution

The fourth proportional to 34,166.34, 47,148.48 and 20,028.60 is: 27,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,166.34 : 47,148.48 = 20,028.60 : x
  2. Step 2: Convert to fraction form
    34,166.34/47,148.48 = 20,028.60/x
  3. Step 3: Cross multiply
    34,166.34x = 47,148.48 × 20,028.60
  4. Step 4: Simplify right side
    34,166.34x = 944,318,046.53
  5. Step 5: Solve for x
    x = 944,318,046.53/34,166.34
  6. Step 6: Final answer
    x = 27,638.84

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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.