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Finding the Fourth Proportional to 38,467, 53,084.62 and 20,803

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Solution

The fourth proportional to 38,467, 53,084.62 and 20,803 is: 28,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467 : 53,084.62 = 20,803 : x
  2. Step 2: Convert to fraction form
    38,467/53,084.62 = 20,803/x
  3. Step 3: Cross multiply
    38,467x = 53,084.62 × 20,803
  4. Step 4: Simplify right side
    38,467x = 1,104,319,349.86
  5. Step 5: Solve for x
    x = 1,104,319,349.86/38,467
  6. Step 6: Final answer
    x = 28,708.23

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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.