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Finding the Fourth Proportional to 38,396.98, 52,988.36 and 21,400.75

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Solution

The fourth proportional to 38,396.98, 52,988.36 and 21,400.75 is: 29,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,396.98 : 52,988.36 = 21,400.75 : x
  2. Step 2: Convert to fraction form
    38,396.98/52,988.36 = 21,400.75/x
  3. Step 3: Cross multiply
    38,396.98x = 52,988.36 × 21,400.75
  4. Step 4: Simplify right side
    38,396.98x = 1,133,990,273.32
  5. Step 5: Solve for x
    x = 1,133,990,273.32/38,396.98
  6. Step 6: Final answer
    x = 29,533.32

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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.