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Finding the Fourth Proportional to 98,843.94, 148,267.71 and 35,668.80

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Solution

The fourth proportional to 98,843.94, 148,267.71 and 35,668.80 is: 53,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,843.94 : 148,267.71 = 35,668.80 : x
  2. Step 2: Convert to fraction form
    98,843.94/148,267.71 = 35,668.80/x
  3. Step 3: Cross multiply
    98,843.94x = 148,267.71 × 35,668.80
  4. Step 4: Simplify right side
    98,843.94x = 5,288,531,294.45
  5. Step 5: Solve for x
    x = 5,288,531,294.45/98,843.94
  6. Step 6: Final answer
    x = 53,503.85

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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.