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Finding the Fourth Proportional to 98,652.40, 147,942.25 and 35,455.66

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Solution

The fourth proportional to 98,652.40, 147,942.25 and 35,455.66 is: 53,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652.40 : 147,942.25 = 35,455.66 : x
  2. Step 2: Convert to fraction form
    98,652.40/147,942.25 = 35,455.66/x
  3. Step 3: Cross multiply
    98,652.40x = 147,942.25 × 35,455.66
  4. Step 4: Simplify right side
    98,652.40x = 5,245,389,657.14
  5. Step 5: Solve for x
    x = 5,245,389,657.14/98,652.40
  6. Step 6: Final answer
    x = 53,170.42

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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.