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Finding the Fourth Proportional to 25,714.20, 38,513.70 and 25,138.20

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Solution

The fourth proportional to 25,714.20, 38,513.70 and 25,138.20 is: 37,650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.20 : 38,513.70 = 25,138.20 : x
  2. Step 2: Convert to fraction form
    25,714.20/38,513.70 = 25,138.20/x
  3. Step 3: Cross multiply
    25,714.20x = 38,513.70 × 25,138.20
  4. Step 4: Simplify right side
    25,714.20x = 968,165,093.34
  5. Step 5: Solve for x
    x = 968,165,093.34/25,714.20
  6. Step 6: Final answer
    x = 37,650.99

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1.5x scale

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.