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Finding the Fourth Proportional to 52,951.88, 73,138.74 and 39,582.84

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Solution

The fourth proportional to 52,951.88, 73,138.74 and 39,582.84 is: 54,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951.88 : 73,138.74 = 39,582.84 : x
  2. Step 2: Convert to fraction form
    52,951.88/73,138.74 = 39,582.84/x
  3. Step 3: Cross multiply
    52,951.88x = 73,138.74 × 39,582.84
  4. Step 4: Simplify right side
    52,951.88x = 2,895,039,043.22
  5. Step 5: Solve for x
    x = 2,895,039,043.22/52,951.88
  6. Step 6: Final answer
    x = 54,673.02

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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.