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Finding the Fourth Proportional to 27,025.34, 40,540.16 and 9,499.10

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Solution

The fourth proportional to 27,025.34, 40,540.16 and 9,499.10 is: 14,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,025.34 : 40,540.16 = 9,499.10 : x
  2. Step 2: Convert to fraction form
    27,025.34/40,540.16 = 9,499.10/x
  3. Step 3: Cross multiply
    27,025.34x = 40,540.16 × 9,499.10
  4. Step 4: Simplify right side
    27,025.34x = 385,094,854.90
  5. Step 5: Solve for x
    x = 385,094,854.90/27,025.34
  6. Step 6: Final answer
    x = 14,249.40

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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.