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Finding the Fourth Proportional to 28,810.50, 43,223.04 and 8,034

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Solution

The fourth proportional to 28,810.50, 43,223.04 and 8,034 is: 12,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,810.50 : 43,223.04 = 8,034 : x
  2. Step 2: Convert to fraction form
    28,810.50/43,223.04 = 8,034/x
  3. Step 3: Cross multiply
    28,810.50x = 43,223.04 × 8,034
  4. Step 4: Simplify right side
    28,810.50x = 347,253,903.36
  5. Step 5: Solve for x
    x = 347,253,903.36/28,810.50
  6. Step 6: Final answer
    x = 12,053.03

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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.