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Finding the Fourth Proportional to 32,978.40, 49,467.60 and 24,230.40

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Solution

The fourth proportional to 32,978.40, 49,467.60 and 24,230.40 is: 36,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.40 : 49,467.60 = 24,230.40 : x
  2. Step 2: Convert to fraction form
    32,978.40/49,467.60 = 24,230.40/x
  3. Step 3: Cross multiply
    32,978.40x = 49,467.60 × 24,230.40
  4. Step 4: Simplify right side
    32,978.40x = 1,198,619,735.04
  5. Step 5: Solve for x
    x = 1,198,619,735.04/32,978.40
  6. Step 6: Final answer
    x = 36,345.60

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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.