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Finding the Fourth Proportional to 54,832.84, 82,274.30 and 29,835.40

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Solution

The fourth proportional to 54,832.84, 82,274.30 and 29,835.40 is: 44,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,832.84 : 82,274.30 = 29,835.40 : x
  2. Step 2: Convert to fraction form
    54,832.84/82,274.30 = 29,835.40/x
  3. Step 3: Cross multiply
    54,832.84x = 82,274.30 × 29,835.40
  4. Step 4: Simplify right side
    54,832.84x = 2,454,686,650.22
  5. Step 5: Solve for x
    x = 2,454,686,650.22/54,832.84
  6. Step 6: Final answer
    x = 44,766.72

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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.