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Finding the Fourth Proportional to 29,823, 44,706.72 and 10,087.76

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Solution

The fourth proportional to 29,823, 44,706.72 and 10,087.76 is: 15,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,823 : 44,706.72 = 10,087.76 : x
  2. Step 2: Convert to fraction form
    29,823/44,706.72 = 10,087.76/x
  3. Step 3: Cross multiply
    29,823x = 44,706.72 × 10,087.76
  4. Step 4: Simplify right side
    29,823x = 450,990,661.75
  5. Step 5: Solve for x
    x = 450,990,661.75/29,823
  6. Step 6: Final answer
    x = 15,122.24

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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.