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Finding the Fourth Proportional to 36,588, 50,472 and 24,630.96

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Solution

The fourth proportional to 36,588, 50,472 and 24,630.96 is: 33,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588 : 50,472 = 24,630.96 : x
  2. Step 2: Convert to fraction form
    36,588/50,472 = 24,630.96/x
  3. Step 3: Cross multiply
    36,588x = 50,472 × 24,630.96
  4. Step 4: Simplify right side
    36,588x = 1,243,173,813.12
  5. Step 5: Solve for x
    x = 1,243,173,813.12/36,588
  6. Step 6: Final answer
    x = 33,977.64

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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.