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Finding the Fourth Proportional to 49,762.56, 74,583.04 and 27,575.04

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Solution

The fourth proportional to 49,762.56, 74,583.04 and 27,575.04 is: 41,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762.56 : 74,583.04 = 27,575.04 : x
  2. Step 2: Convert to fraction form
    49,762.56/74,583.04 = 27,575.04/x
  3. Step 3: Cross multiply
    49,762.56x = 74,583.04 × 27,575.04
  4. Step 4: Simplify right side
    49,762.56x = 2,056,630,311.32
  5. Step 5: Solve for x
    x = 2,056,630,311.32/49,762.56
  6. Step 6: Final answer
    x = 41,328.87

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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.