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Finding the Fourth Proportional to 38,009, 52,451.46 and 21,242.12

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Solution

The fourth proportional to 38,009, 52,451.46 and 21,242.12 is: 29,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009 : 52,451.46 = 21,242.12 : x
  2. Step 2: Convert to fraction form
    38,009/52,451.46 = 21,242.12/x
  3. Step 3: Cross multiply
    38,009x = 52,451.46 × 21,242.12
  4. Step 4: Simplify right side
    38,009x = 1,114,180,207.50
  5. Step 5: Solve for x
    x = 1,114,180,207.50/38,009
  6. Step 6: Final answer
    x = 29,313.59

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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.