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Finding the Fourth Proportional to 35,814.16, 49,419.75 and 20,704.42

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Solution

The fourth proportional to 35,814.16, 49,419.75 and 20,704.42 is: 28,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.16 : 49,419.75 = 20,704.42 : x
  2. Step 2: Convert to fraction form
    35,814.16/49,419.75 = 20,704.42/x
  3. Step 3: Cross multiply
    35,814.16x = 49,419.75 × 20,704.42
  4. Step 4: Simplify right side
    35,814.16x = 1,023,207,260.30
  5. Step 5: Solve for x
    x = 1,023,207,260.30/35,814.16
  6. Step 6: Final answer
    x = 28,569.91

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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.