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Finding the Fourth Proportional to 102,514.20, 153,771.30 and 36,029.40

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Solution

The fourth proportional to 102,514.20, 153,771.30 and 36,029.40 is: 54,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514.20 : 153,771.30 = 36,029.40 : x
  2. Step 2: Convert to fraction form
    102,514.20/153,771.30 = 36,029.40/x
  3. Step 3: Cross multiply
    102,514.20x = 153,771.30 × 36,029.40
  4. Step 4: Simplify right side
    102,514.20x = 5,540,287,676.22
  5. Step 5: Solve for x
    x = 5,540,287,676.22/102,514.20
  6. Step 6: Final answer
    x = 54,044.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.