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Finding the Fourth Proportional to 49,808.74, 74,722.05 and 16,522.60

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Solution

The fourth proportional to 49,808.74, 74,722.05 and 16,522.60 is: 24,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,808.74 : 74,722.05 = 16,522.60 : x
  2. Step 2: Convert to fraction form
    49,808.74/74,722.05 = 16,522.60/x
  3. Step 3: Cross multiply
    49,808.74x = 74,722.05 × 16,522.60
  4. Step 4: Simplify right side
    49,808.74x = 1,234,602,543.33
  5. Step 5: Solve for x
    x = 1,234,602,543.33/49,808.74
  6. Step 6: Final answer
    x = 24,786.87

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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.