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Finding the Fourth Proportional to 127,840.44, 191,788.34 and 48,954.67

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Solution

The fourth proportional to 127,840.44, 191,788.34 and 48,954.67 is: 73,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,840.44 : 191,788.34 = 48,954.67 : x
  2. Step 2: Convert to fraction form
    127,840.44/191,788.34 = 48,954.67/x
  3. Step 3: Cross multiply
    127,840.44x = 191,788.34 × 48,954.67
  4. Step 4: Simplify right side
    127,840.44x = 9,388,933,690.83
  5. Step 5: Solve for x
    x = 9,388,933,690.83/127,840.44
  6. Step 6: Final answer
    x = 73,442.60

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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.