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Finding the Fourth Proportional to 28,021.50, 42,036.29 and 8,297.46

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Solution

The fourth proportional to 28,021.50, 42,036.29 and 8,297.46 is: 12,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,021.50 : 42,036.29 = 8,297.46 : x
  2. Step 2: Convert to fraction form
    28,021.50/42,036.29 = 8,297.46/x
  3. Step 3: Cross multiply
    28,021.50x = 42,036.29 × 8,297.46
  4. Step 4: Simplify right side
    28,021.50x = 348,794,393.34
  5. Step 5: Solve for x
    x = 348,794,393.34/28,021.50
  6. Step 6: Final answer
    x = 12,447.38

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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.