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Finding the Fourth Proportional to 19,841.86, 29,763.02 and 5,050.76

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Solution

The fourth proportional to 19,841.86, 29,763.02 and 5,050.76 is: 7,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.86 : 29,763.02 = 5,050.76 : x
  2. Step 2: Convert to fraction form
    19,841.86/29,763.02 = 5,050.76/x
  3. Step 3: Cross multiply
    19,841.86x = 29,763.02 × 5,050.76
  4. Step 4: Simplify right side
    19,841.86x = 150,325,720.50
  5. Step 5: Solve for x
    x = 150,325,720.50/19,841.86
  6. Step 6: Final answer
    x = 7,576.19

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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.