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Finding the Fourth Proportional to 36,417.77, 50,257.46 and 20,502.79

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Solution

The fourth proportional to 36,417.77, 50,257.46 and 20,502.79 is: 28,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,417.77 : 50,257.46 = 20,502.79 : x
  2. Step 2: Convert to fraction form
    36,417.77/50,257.46 = 20,502.79/x
  3. Step 3: Cross multiply
    36,417.77x = 50,257.46 × 20,502.79
  4. Step 4: Simplify right side
    36,417.77x = 1,030,418,148.31
  5. Step 5: Solve for x
    x = 1,030,418,148.31/36,417.77
  6. Step 6: Final answer
    x = 28,294.38

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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.