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Finding the Fourth Proportional to 103,213.50, 154,846.26 and 29,341.50

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Solution

The fourth proportional to 103,213.50, 154,846.26 and 29,341.50 is: 44,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,213.50 : 154,846.26 = 29,341.50 : x
  2. Step 2: Convert to fraction form
    103,213.50/154,846.26 = 29,341.50/x
  3. Step 3: Cross multiply
    103,213.50x = 154,846.26 × 29,341.50
  4. Step 4: Simplify right side
    103,213.50x = 4,543,421,537.79
  5. Step 5: Solve for x
    x = 4,543,421,537.79/103,213.50
  6. Step 6: Final answer
    x = 44,019.64

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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.