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Finding the Fourth Proportional to 98,914.98, 148,395.81 and 32,354.85

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Solution

The fourth proportional to 98,914.98, 148,395.81 and 32,354.85 is: 48,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,914.98 : 148,395.81 = 32,354.85 : x
  2. Step 2: Convert to fraction form
    98,914.98/148,395.81 = 32,354.85/x
  3. Step 3: Cross multiply
    98,914.98x = 148,395.81 × 32,354.85
  4. Step 4: Simplify right side
    98,914.98x = 4,801,324,173.18
  5. Step 5: Solve for x
    x = 4,801,324,173.18/98,914.98
  6. Step 6: Final answer
    x = 48,539.91

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1.5x scale

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.