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Finding the Fourth Proportional to 38,537.84, 53,181.80 and 22,619.21

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Solution

The fourth proportional to 38,537.84, 53,181.80 and 22,619.21 is: 31,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,537.84 : 53,181.80 = 22,619.21 : x
  2. Step 2: Convert to fraction form
    38,537.84/53,181.80 = 22,619.21/x
  3. Step 3: Cross multiply
    38,537.84x = 53,181.80 × 22,619.21
  4. Step 4: Simplify right side
    38,537.84x = 1,202,930,302.38
  5. Step 5: Solve for x
    x = 1,202,930,302.38/38,537.84
  6. Step 6: Final answer
    x = 31,214.27

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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.