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Finding the Fourth Proportional to 85,832.56, 128,754.60 and 29,678.14

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Solution

The fourth proportional to 85,832.56, 128,754.60 and 29,678.14 is: 44,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,832.56 : 128,754.60 = 29,678.14 : x
  2. Step 2: Convert to fraction form
    85,832.56/128,754.60 = 29,678.14/x
  3. Step 3: Cross multiply
    85,832.56x = 128,754.60 × 29,678.14
  4. Step 4: Simplify right side
    85,832.56x = 3,821,197,044.44
  5. Step 5: Solve for x
    x = 3,821,197,044.44/85,832.56
  6. Step 6: Final answer
    x = 44,519.20

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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.