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Finding the Fourth Proportional to 38,774.40, 53,514.54 and 23,675.88

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Solution

The fourth proportional to 38,774.40, 53,514.54 and 23,675.88 is: 32,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.40 : 53,514.54 = 23,675.88 : x
  2. Step 2: Convert to fraction form
    38,774.40/53,514.54 = 23,675.88/x
  3. Step 3: Cross multiply
    38,774.40x = 53,514.54 × 23,675.88
  4. Step 4: Simplify right side
    38,774.40x = 1,267,003,827.30
  5. Step 5: Solve for x
    x = 1,267,003,827.30/38,774.40
  6. Step 6: Final answer
    x = 32,676.30

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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.