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Finding the Fourth Proportional to 43,986, 60,700.68 and 24,114

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Solution

The fourth proportional to 43,986, 60,700.68 and 24,114 is: 33,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,986 : 60,700.68 = 24,114 : x
  2. Step 2: Convert to fraction form
    43,986/60,700.68 = 24,114/x
  3. Step 3: Cross multiply
    43,986x = 60,700.68 × 24,114
  4. Step 4: Simplify right side
    43,986x = 1,463,736,197.52
  5. Step 5: Solve for x
    x = 1,463,736,197.52/43,986
  6. Step 6: Final answer
    x = 33,277.32

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Why These Related Problems?

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