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Finding the Fourth Proportional to 35,740.28, 49,321.22 and 19,824.32

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Solution

The fourth proportional to 35,740.28, 49,321.22 and 19,824.32 is: 27,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.28 : 49,321.22 = 19,824.32 : x
  2. Step 2: Convert to fraction form
    35,740.28/49,321.22 = 19,824.32/x
  3. Step 3: Cross multiply
    35,740.28x = 49,321.22 × 19,824.32
  4. Step 4: Simplify right side
    35,740.28x = 977,759,648.07
  5. Step 5: Solve for x
    x = 977,759,648.07/35,740.28
  6. Step 6: Final answer
    x = 27,357.36

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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.