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Finding the Fourth Proportional to 43,894, 60,573.84 and 24,022

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Solution

The fourth proportional to 43,894, 60,573.84 and 24,022 is: 33,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,894 : 60,573.84 = 24,022 : x
  2. Step 2: Convert to fraction form
    43,894/60,573.84 = 24,022/x
  3. Step 3: Cross multiply
    43,894x = 60,573.84 × 24,022
  4. Step 4: Simplify right side
    43,894x = 1,455,104,784.48
  5. Step 5: Solve for x
    x = 1,455,104,784.48/43,894
  6. Step 6: Final answer
    x = 33,150.43

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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.