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Finding the Fourth Proportional to 35,797.29, 49,397.76 and 20,678.10

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Solution

The fourth proportional to 35,797.29, 49,397.76 and 20,678.10 is: 28,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797.29 : 49,397.76 = 20,678.10 : x
  2. Step 2: Convert to fraction form
    35,797.29/49,397.76 = 20,678.10/x
  3. Step 3: Cross multiply
    35,797.29x = 49,397.76 × 20,678.10
  4. Step 4: Simplify right side
    35,797.29x = 1,021,451,821.06
  5. Step 5: Solve for x
    x = 1,021,451,821.06/35,797.29
  6. Step 6: Final answer
    x = 28,534.33

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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.