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Finding the Fourth Proportional to 35,771.28, 49,364 and 19,855.32

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Solution

The fourth proportional to 35,771.28, 49,364 and 19,855.32 is: 27,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,771.28 : 49,364 = 19,855.32 : x
  2. Step 2: Convert to fraction form
    35,771.28/49,364 = 19,855.32/x
  3. Step 3: Cross multiply
    35,771.28x = 49,364 × 19,855.32
  4. Step 4: Simplify right side
    35,771.28x = 980,138,016.48
  5. Step 5: Solve for x
    x = 980,138,016.48/35,771.28
  6. Step 6: Final answer
    x = 27,400.14

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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.