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Finding the Fourth Proportional to 98,408.02, 147,614.31 and 35,232.46

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Solution

The fourth proportional to 98,408.02, 147,614.31 and 35,232.46 is: 52,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,408.02 : 147,614.31 = 35,232.46 : x
  2. Step 2: Convert to fraction form
    98,408.02/147,614.31 = 35,232.46/x
  3. Step 3: Cross multiply
    98,408.02x = 147,614.31 × 35,232.46
  4. Step 4: Simplify right side
    98,408.02x = 5,200,815,272.50
  5. Step 5: Solve for x
    x = 5,200,815,272.50/98,408.02
  6. Step 6: Final answer
    x = 52,849.51

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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.