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Finding the Fourth Proportional to 35,634.94, 49,174.16 and 19,718.59

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Solution

The fourth proportional to 35,634.94, 49,174.16 and 19,718.59 is: 27,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,634.94 : 49,174.16 = 19,718.59 : x
  2. Step 2: Convert to fraction form
    35,634.94/49,174.16 = 19,718.59/x
  3. Step 3: Cross multiply
    35,634.94x = 49,174.16 × 19,718.59
  4. Step 4: Simplify right side
    35,634.94x = 969,645,099.63
  5. Step 5: Solve for x
    x = 969,645,099.63/35,634.94
  6. Step 6: Final answer
    x = 27,210.52

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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.