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Finding the Fourth Proportional to 34,742.70, 52,114.05 and 12,563.10

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Solution

The fourth proportional to 34,742.70, 52,114.05 and 12,563.10 is: 18,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.70 : 52,114.05 = 12,563.10 : x
  2. Step 2: Convert to fraction form
    34,742.70/52,114.05 = 12,563.10/x
  3. Step 3: Cross multiply
    34,742.70x = 52,114.05 × 12,563.10
  4. Step 4: Simplify right side
    34,742.70x = 654,714,021.56
  5. Step 5: Solve for x
    x = 654,714,021.56/34,742.70
  6. Step 6: Final answer
    x = 18,844.65

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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.