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Finding the Fourth Proportional to 98,019.60, 146,940.48 and 35,646

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Solution

The fourth proportional to 98,019.60, 146,940.48 and 35,646 is: 53,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,019.60 : 146,940.48 = 35,646 : x
  2. Step 2: Convert to fraction form
    98,019.60/146,940.48 = 35,646/x
  3. Step 3: Cross multiply
    98,019.60x = 146,940.48 × 35,646
  4. Step 4: Simplify right side
    98,019.60x = 5,237,840,350.08
  5. Step 5: Solve for x
    x = 5,237,840,350.08/98,019.60
  6. Step 6: Final answer
    x = 53,436.66

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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.