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Finding the Fourth Proportional to 38,466.75, 53,083.72 and 22,548.13

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Solution

The fourth proportional to 38,466.75, 53,083.72 and 22,548.13 is: 31,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466.75 : 53,083.72 = 22,548.13 : x
  2. Step 2: Convert to fraction form
    38,466.75/53,083.72 = 22,548.13/x
  3. Step 3: Cross multiply
    38,466.75x = 53,083.72 × 22,548.13
  4. Step 4: Simplify right side
    38,466.75x = 1,196,938,619.44
  5. Step 5: Solve for x
    x = 1,196,938,619.44/38,466.75
  6. Step 6: Final answer
    x = 31,116.19

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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.