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Finding the Fourth Proportional to 38,968.38, 53,774.91 and 21,973.14

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Solution

The fourth proportional to 38,968.38, 53,774.91 and 21,973.14 is: 30,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,968.38 : 53,774.91 = 21,973.14 : x
  2. Step 2: Convert to fraction form
    38,968.38/53,774.91 = 21,973.14/x
  3. Step 3: Cross multiply
    38,968.38x = 53,774.91 × 21,973.14
  4. Step 4: Simplify right side
    38,968.38x = 1,181,603,625.92
  5. Step 5: Solve for x
    x = 1,181,603,625.92/38,968.38
  6. Step 6: Final answer
    x = 30,322.11

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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.