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Finding the Fourth Proportional to 36,496.80, 54,788.40 and 20,714.40

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Solution

The fourth proportional to 36,496.80, 54,788.40 and 20,714.40 is: 31,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,496.80 : 54,788.40 = 20,714.40 : x
  2. Step 2: Convert to fraction form
    36,496.80/54,788.40 = 20,714.40/x
  3. Step 3: Cross multiply
    36,496.80x = 54,788.40 × 20,714.40
  4. Step 4: Simplify right side
    36,496.80x = 1,134,908,832.96
  5. Step 5: Solve for x
    x = 1,134,908,832.96/36,496.80
  6. Step 6: Final answer
    x = 31,096.12

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Why These Related Problems?

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