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Finding the Fourth Proportional to 98,578.56, 147,899.20 and 35,355.84

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Solution

The fourth proportional to 98,578.56, 147,899.20 and 35,355.84 is: 53,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.56 : 147,899.20 = 35,355.84 : x
  2. Step 2: Convert to fraction form
    98,578.56/147,899.20 = 35,355.84/x
  3. Step 3: Cross multiply
    98,578.56x = 147,899.20 × 35,355.84
  4. Step 4: Simplify right side
    98,578.56x = 5,229,100,451.33
  5. Step 5: Solve for x
    x = 5,229,100,451.33/98,578.56
  6. Step 6: Final answer
    x = 53,045.01

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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.