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Finding the Fourth Proportional to 98,914.25, 148,389.64 and 32,357.90

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Solution

The fourth proportional to 98,914.25, 148,389.64 and 32,357.90 is: 48,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,914.25 : 148,389.64 = 32,357.90 : x
  2. Step 2: Convert to fraction form
    98,914.25/148,389.64 = 32,357.90/x
  3. Step 3: Cross multiply
    98,914.25x = 148,389.64 × 32,357.90
  4. Step 4: Simplify right side
    98,914.25x = 4,801,577,422.24
  5. Step 5: Solve for x
    x = 4,801,577,422.24/98,914.25
  6. Step 6: Final answer
    x = 48,542.83

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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.