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Finding the Fourth Proportional to 23,382.70, 35,074.02 and 5,852.50

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Solution

The fourth proportional to 23,382.70, 35,074.02 and 5,852.50 is: 8,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.70 : 35,074.02 = 5,852.50 : x
  2. Step 2: Convert to fraction form
    23,382.70/35,074.02 = 5,852.50/x
  3. Step 3: Cross multiply
    23,382.70x = 35,074.02 × 5,852.50
  4. Step 4: Simplify right side
    23,382.70x = 205,270,702.05
  5. Step 5: Solve for x
    x = 205,270,702.05/23,382.70
  6. Step 6: Final answer
    x = 8,778.74

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Why These Related Problems?

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