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Finding the Fourth Proportional to 109,647.90, 164,420.01 and 50,466.06

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Solution

The fourth proportional to 109,647.90, 164,420.01 and 50,466.06 is: 75,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,647.90 : 164,420.01 = 50,466.06 : x
  2. Step 2: Convert to fraction form
    109,647.90/164,420.01 = 50,466.06/x
  3. Step 3: Cross multiply
    109,647.90x = 164,420.01 × 50,466.06
  4. Step 4: Simplify right side
    109,647.90x = 8,297,630,089.86
  5. Step 5: Solve for x
    x = 8,297,630,089.86/109,647.90
  6. Step 6: Final answer
    x = 75,675.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.