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Finding the Fourth Proportional to 35,735.36, 49,296.48 and 23,164.16

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Solution

The fourth proportional to 35,735.36, 49,296.48 and 23,164.16 is: 31,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735.36 : 49,296.48 = 23,164.16 : x
  2. Step 2: Convert to fraction form
    35,735.36/49,296.48 = 23,164.16/x
  3. Step 3: Cross multiply
    35,735.36x = 49,296.48 × 23,164.16
  4. Step 4: Simplify right side
    35,735.36x = 1,141,911,550.16
  5. Step 5: Solve for x
    x = 1,141,911,550.16/35,735.36
  6. Step 6: Final answer
    x = 31,954.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.