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Finding the Fourth Proportional to 31,667.28, 47,484.84 and 10,599.84

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Solution

The fourth proportional to 31,667.28, 47,484.84 and 10,599.84 is: 15,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.28 : 47,484.84 = 10,599.84 : x
  2. Step 2: Convert to fraction form
    31,667.28/47,484.84 = 10,599.84/x
  3. Step 3: Cross multiply
    31,667.28x = 47,484.84 × 10,599.84
  4. Step 4: Simplify right side
    31,667.28x = 503,331,706.43
  5. Step 5: Solve for x
    x = 503,331,706.43/31,667.28
  6. Step 6: Final answer
    x = 15,894.38

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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.