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Finding the Fourth Proportional to 49,424.50, 74,128.89 and 16,144.30

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Solution

The fourth proportional to 49,424.50, 74,128.89 and 16,144.30 is: 24,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,424.50 : 74,128.89 = 16,144.30 : x
  2. Step 2: Convert to fraction form
    49,424.50/74,128.89 = 16,144.30/x
  3. Step 3: Cross multiply
    49,424.50x = 74,128.89 × 16,144.30
  4. Step 4: Simplify right side
    49,424.50x = 1,196,759,038.83
  5. Step 5: Solve for x
    x = 1,196,759,038.83/49,424.50
  6. Step 6: Final answer
    x = 24,213.88

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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.