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Finding the Fourth Proportional to 98,850.64, 148,300.62 and 32,294.56

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Solution

The fourth proportional to 98,850.64, 148,300.62 and 32,294.56 is: 48,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,850.64 : 148,300.62 = 32,294.56 : x
  2. Step 2: Convert to fraction form
    98,850.64/148,300.62 = 32,294.56/x
  3. Step 3: Cross multiply
    98,850.64x = 148,300.62 × 32,294.56
  4. Step 4: Simplify right side
    98,850.64x = 4,789,303,270.63
  5. Step 5: Solve for x
    x = 4,789,303,270.63/98,850.64
  6. Step 6: Final answer
    x = 48,449.90

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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.