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Finding the Fourth Proportional to 98,843.24, 148,266.63 and 35,668.10

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Solution

The fourth proportional to 98,843.24, 148,266.63 and 35,668.10 is: 53,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,843.24 : 148,266.63 = 35,668.10 : x
  2. Step 2: Convert to fraction form
    98,843.24/148,266.63 = 35,668.10/x
  3. Step 3: Cross multiply
    98,843.24x = 148,266.63 × 35,668.10
  4. Step 4: Simplify right side
    98,843.24x = 5,288,388,985.50
  5. Step 5: Solve for x
    x = 5,288,388,985.50/98,843.24
  6. Step 6: Final answer
    x = 53,502.79

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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.