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Finding the Fourth Proportional to 35,505.64, 49,021.14 and 27,424.60

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Solution

The fourth proportional to 35,505.64, 49,021.14 and 27,424.60 is: 37,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505.64 : 49,021.14 = 27,424.60 : x
  2. Step 2: Convert to fraction form
    35,505.64/49,021.14 = 27,424.60/x
  3. Step 3: Cross multiply
    35,505.64x = 49,021.14 × 27,424.60
  4. Step 4: Simplify right side
    35,505.64x = 1,344,385,156.04
  5. Step 5: Solve for x
    x = 1,344,385,156.04/35,505.64
  6. Step 6: Final answer
    x = 37,863.99

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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.