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Finding the Fourth Proportional to 27,025, 40,535.46 and 9,496

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Solution

The fourth proportional to 27,025, 40,535.46 and 9,496 is: 14,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,025 : 40,535.46 = 9,496 : x
  2. Step 2: Convert to fraction form
    27,025/40,535.46 = 9,496/x
  3. Step 3: Cross multiply
    27,025x = 40,535.46 × 9,496
  4. Step 4: Simplify right side
    27,025x = 384,924,728.16
  5. Step 5: Solve for x
    x = 384,924,728.16/27,025
  6. Step 6: Final answer
    x = 14,243.28

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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.