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Finding the Fourth Proportional to 43,138.50, 64,707.75 and 13,954.50

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Solution

The fourth proportional to 43,138.50, 64,707.75 and 13,954.50 is: 20,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,138.50 : 64,707.75 = 13,954.50 : x
  2. Step 2: Convert to fraction form
    43,138.50/64,707.75 = 13,954.50/x
  3. Step 3: Cross multiply
    43,138.50x = 64,707.75 × 13,954.50
  4. Step 4: Simplify right side
    43,138.50x = 902,964,297.38
  5. Step 5: Solve for x
    x = 902,964,297.38/43,138.50
  6. Step 6: Final answer
    x = 20,931.75

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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.