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Finding the Fourth Proportional to 35,712.84, 49,282.34 and 19,797.50

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Solution

The fourth proportional to 35,712.84, 49,282.34 and 19,797.50 is: 27,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.84 : 49,282.34 = 19,797.50 : x
  2. Step 2: Convert to fraction form
    35,712.84/49,282.34 = 19,797.50/x
  3. Step 3: Cross multiply
    35,712.84x = 49,282.34 × 19,797.50
  4. Step 4: Simplify right side
    35,712.84x = 975,667,126.15
  5. Step 5: Solve for x
    x = 975,667,126.15/35,712.84
  6. Step 6: Final answer
    x = 27,319.79

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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.