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Finding the Fourth Proportional to 98,131.50, 147,199.68 and 35,802

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Solution

The fourth proportional to 98,131.50, 147,199.68 and 35,802 is: 53,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,131.50 : 147,199.68 = 35,802 : x
  2. Step 2: Convert to fraction form
    98,131.50/147,199.68 = 35,802/x
  3. Step 3: Cross multiply
    98,131.50x = 147,199.68 × 35,802
  4. Step 4: Simplify right side
    98,131.50x = 5,270,042,943.36
  5. Step 5: Solve for x
    x = 5,270,042,943.36/98,131.50
  6. Step 6: Final answer
    x = 53,703.89

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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.