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Finding the Fourth Proportional to 35,935.32, 49,592.25 and 20,019.75

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Solution

The fourth proportional to 35,935.32, 49,592.25 and 20,019.75 is: 27,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,935.32 : 49,592.25 = 20,019.75 : x
  2. Step 2: Convert to fraction form
    35,935.32/49,592.25 = 20,019.75/x
  3. Step 3: Cross multiply
    35,935.32x = 49,592.25 × 20,019.75
  4. Step 4: Simplify right side
    35,935.32x = 992,824,446.94
  5. Step 5: Solve for x
    x = 992,824,446.94/35,935.32
  6. Step 6: Final answer
    x = 27,628.10

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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.