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Finding the Fourth Proportional to 54,956.44, 75,835.82 and 30,754.22

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Solution

The fourth proportional to 54,956.44, 75,835.82 and 30,754.22 is: 42,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,956.44 : 75,835.82 = 30,754.22 : x
  2. Step 2: Convert to fraction form
    54,956.44/75,835.82 = 30,754.22/x
  3. Step 3: Cross multiply
    54,956.44x = 75,835.82 × 30,754.22
  4. Step 4: Simplify right side
    54,956.44x = 2,332,271,492.16
  5. Step 5: Solve for x
    x = 2,332,271,492.16/54,956.44
  6. Step 6: Final answer
    x = 42,438.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.