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Finding the Fourth Proportional to 29,995.85, 44,996.38 and 7,809.24

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Solution

The fourth proportional to 29,995.85, 44,996.38 and 7,809.24 is: 11,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,995.85 : 44,996.38 = 7,809.24 : x
  2. Step 2: Convert to fraction form
    29,995.85/44,996.38 = 7,809.24/x
  3. Step 3: Cross multiply
    29,995.85x = 44,996.38 × 7,809.24
  4. Step 4: Simplify right side
    29,995.85x = 351,387,679.76
  5. Step 5: Solve for x
    x = 351,387,679.76/29,995.85
  6. Step 6: Final answer
    x = 11,714.54

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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.