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Finding the Fourth Proportional to 28,019.57, 42,029.48 and 8,298.50

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Solution

The fourth proportional to 28,019.57, 42,029.48 and 8,298.50 is: 12,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,019.57 : 42,029.48 = 8,298.50 : x
  2. Step 2: Convert to fraction form
    28,019.57/42,029.48 = 8,298.50/x
  3. Step 3: Cross multiply
    28,019.57x = 42,029.48 × 8,298.50
  4. Step 4: Simplify right side
    28,019.57x = 348,781,450.38
  5. Step 5: Solve for x
    x = 348,781,450.38/28,019.57
  6. Step 6: Final answer
    x = 12,447.78

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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.