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Finding the Fourth Proportional to 98,974.68, 148,475.38 and 28,853.44

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Solution

The fourth proportional to 98,974.68, 148,475.38 and 28,853.44 is: 43,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,974.68 : 148,475.38 = 28,853.44 : x
  2. Step 2: Convert to fraction form
    98,974.68/148,475.38 = 28,853.44/x
  3. Step 3: Cross multiply
    98,974.68x = 148,475.38 × 28,853.44
  4. Step 4: Simplify right side
    98,974.68x = 4,284,025,468.31
  5. Step 5: Solve for x
    x = 4,284,025,468.31/98,974.68
  6. Step 6: Final answer
    x = 43,284.05

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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.