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Finding the Fourth Proportional to 98,797.40, 148,205.88 and 32,234.84

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Solution

The fourth proportional to 98,797.40, 148,205.88 and 32,234.84 is: 48,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,797.40 : 148,205.88 = 32,234.84 : x
  2. Step 2: Convert to fraction form
    98,797.40/148,205.88 = 32,234.84/x
  3. Step 3: Cross multiply
    98,797.40x = 148,205.88 × 32,234.84
  4. Step 4: Simplify right side
    98,797.40x = 4,777,392,828.86
  5. Step 5: Solve for x
    x = 4,777,392,828.86/98,797.40
  6. Step 6: Final answer
    x = 48,355.45

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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.