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Finding the Fourth Proportional to 33,697.47, 50,559.30 and 13,971

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Solution

The fourth proportional to 33,697.47, 50,559.30 and 13,971 is: 20,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,697.47 : 50,559.30 = 13,971 : x
  2. Step 2: Convert to fraction form
    33,697.47/50,559.30 = 13,971/x
  3. Step 3: Cross multiply
    33,697.47x = 50,559.30 × 13,971
  4. Step 4: Simplify right side
    33,697.47x = 706,363,980.30
  5. Step 5: Solve for x
    x = 706,363,980.30/33,697.47
  6. Step 6: Final answer
    x = 20,961.93

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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.