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Finding the Fourth Proportional to 36,406.60, 50,231.27 and 21,303

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Solution

The fourth proportional to 36,406.60, 50,231.27 and 21,303 is: 29,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,406.60 : 50,231.27 = 21,303 : x
  2. Step 2: Convert to fraction form
    36,406.60/50,231.27 = 21,303/x
  3. Step 3: Cross multiply
    36,406.60x = 50,231.27 × 21,303
  4. Step 4: Simplify right side
    36,406.60x = 1,070,076,798.07
  5. Step 5: Solve for x
    x = 1,070,076,798.07/36,406.60
  6. Step 6: Final answer
    x = 29,392.39

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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.