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Finding the Fourth Proportional to 89,462.84, 134,213.94 and 27,138.20

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Solution

The fourth proportional to 89,462.84, 134,213.94 and 27,138.20 is: 40,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,462.84 : 134,213.94 = 27,138.20 : x
  2. Step 2: Convert to fraction form
    89,462.84/134,213.94 = 27,138.20/x
  3. Step 3: Cross multiply
    89,462.84x = 134,213.94 × 27,138.20
  4. Step 4: Simplify right side
    89,462.84x = 3,642,324,746.51
  5. Step 5: Solve for x
    x = 3,642,324,746.51/89,462.84
  6. Step 6: Final answer
    x = 40,713.27

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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.