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Finding the Fourth Proportional to 35,722.96, 49,301.16 and 20,818

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Solution

The fourth proportional to 35,722.96, 49,301.16 and 20,818 is: 28,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722.96 : 49,301.16 = 20,818 : x
  2. Step 2: Convert to fraction form
    35,722.96/49,301.16 = 20,818/x
  3. Step 3: Cross multiply
    35,722.96x = 49,301.16 × 20,818
  4. Step 4: Simplify right side
    35,722.96x = 1,026,351,548.88
  5. Step 5: Solve for x
    x = 1,026,351,548.88/35,722.96
  6. Step 6: Final answer
    x = 28,730.87

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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.