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Finding the Fourth Proportional to 34,157.68, 47,129.57 and 20,728.63

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Solution

The fourth proportional to 34,157.68, 47,129.57 and 20,728.63 is: 28,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157.68 : 47,129.57 = 20,728.63 : x
  2. Step 2: Convert to fraction form
    34,157.68/47,129.57 = 20,728.63/x
  3. Step 3: Cross multiply
    34,157.68x = 47,129.57 × 20,728.63
  4. Step 4: Simplify right side
    34,157.68x = 976,931,079.30
  5. Step 5: Solve for x
    x = 976,931,079.30/34,157.68
  6. Step 6: Final answer
    x = 28,600.63

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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.