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Finding the Fourth Proportional to 43,642.82, 65,492.93 and 23,935.21

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Solution

The fourth proportional to 43,642.82, 65,492.93 and 23,935.21 is: 35,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,642.82 : 65,492.93 = 23,935.21 : x
  2. Step 2: Convert to fraction form
    43,642.82/65,492.93 = 23,935.21/x
  3. Step 3: Cross multiply
    43,642.82x = 65,492.93 × 23,935.21
  4. Step 4: Simplify right side
    43,642.82x = 1,567,587,033.07
  5. Step 5: Solve for x
    x = 1,567,587,033.07/43,642.82
  6. Step 6: Final answer
    x = 35,918.56

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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.