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Finding the Fourth Proportional to 53,727.64, 80,513.70 and 30,304.24

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Solution

The fourth proportional to 53,727.64, 80,513.70 and 30,304.24 is: 45,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,727.64 : 80,513.70 = 30,304.24 : x
  2. Step 2: Convert to fraction form
    53,727.64/80,513.70 = 30,304.24/x
  3. Step 3: Cross multiply
    53,727.64x = 80,513.70 × 30,304.24
  4. Step 4: Simplify right side
    53,727.64x = 2,439,906,488.09
  5. Step 5: Solve for x
    x = 2,439,906,488.09/53,727.64
  6. Step 6: Final answer
    x = 45,412.50

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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.