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Finding the Fourth Proportional to 35,812.80, 49,373.28 and 30,214.08

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Solution

The fourth proportional to 35,812.80, 49,373.28 and 30,214.08 is: 41,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.80 : 49,373.28 = 30,214.08 : x
  2. Step 2: Convert to fraction form
    35,812.80/49,373.28 = 30,214.08/x
  3. Step 3: Cross multiply
    35,812.80x = 49,373.28 × 30,214.08
  4. Step 4: Simplify right side
    35,812.80x = 1,491,768,231.78
  5. Step 5: Solve for x
    x = 1,491,768,231.78/35,812.80
  6. Step 6: Final answer
    x = 41,654.61

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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.