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Finding the Fourth Proportional to 34,071.60, 47,007.84 and 20,638.56

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Solution

The fourth proportional to 34,071.60, 47,007.84 and 20,638.56 is: 28,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.60 : 47,007.84 = 20,638.56 : x
  2. Step 2: Convert to fraction form
    34,071.60/47,007.84 = 20,638.56/x
  3. Step 3: Cross multiply
    34,071.60x = 47,007.84 × 20,638.56
  4. Step 4: Simplify right side
    34,071.60x = 970,174,126.31
  5. Step 5: Solve for x
    x = 970,174,126.31/34,071.60
  6. Step 6: Final answer
    x = 28,474.57

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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.