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Finding the Fourth Proportional to 46,965.84, 70,383 and 33,756.24

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Solution

The fourth proportional to 46,965.84, 70,383 and 33,756.24 is: 50,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,965.84 : 70,383 = 33,756.24 : x
  2. Step 2: Convert to fraction form
    46,965.84/70,383 = 33,756.24/x
  3. Step 3: Cross multiply
    46,965.84x = 70,383 × 33,756.24
  4. Step 4: Simplify right side
    46,965.84x = 2,375,865,439.92
  5. Step 5: Solve for x
    x = 2,375,865,439.92/46,965.84
  6. Step 6: Final answer
    x = 50,587.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.