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Finding the Fourth Proportional to 35,754.34, 49,340.32 and 19,838.45

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Solution

The fourth proportional to 35,754.34, 49,340.32 and 19,838.45 is: 27,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754.34 : 49,340.32 = 19,838.45 : x
  2. Step 2: Convert to fraction form
    35,754.34/49,340.32 = 19,838.45/x
  3. Step 3: Cross multiply
    35,754.34x = 49,340.32 × 19,838.45
  4. Step 4: Simplify right side
    35,754.34x = 978,835,471.30
  5. Step 5: Solve for x
    x = 978,835,471.30/35,754.34
  6. Step 6: Final answer
    x = 27,376.69

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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.