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Finding the Fourth Proportional to 35,797.76, 53,714.24 and 16,090.24

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Solution

The fourth proportional to 35,797.76, 53,714.24 and 16,090.24 is: 24,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,797.76 : 53,714.24 = 16,090.24 : x
  2. Step 2: Convert to fraction form
    35,797.76/53,714.24 = 16,090.24/x
  3. Step 3: Cross multiply
    35,797.76x = 53,714.24 × 16,090.24
  4. Step 4: Simplify right side
    35,797.76x = 864,275,013.02
  5. Step 5: Solve for x
    x = 864,275,013.02/35,797.76
  6. Step 6: Final answer
    x = 24,143.27

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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.