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Finding the Fourth Proportional to 49,476.40, 74,214.60 and 32,563.60

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Solution

The fourth proportional to 49,476.40, 74,214.60 and 32,563.60 is: 48,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476.40 : 74,214.60 = 32,563.60 : x
  2. Step 2: Convert to fraction form
    49,476.40/74,214.60 = 32,563.60/x
  3. Step 3: Cross multiply
    49,476.40x = 74,214.60 × 32,563.60
  4. Step 4: Simplify right side
    49,476.40x = 2,416,694,548.56
  5. Step 5: Solve for x
    x = 2,416,694,548.56/49,476.40
  6. Step 6: Final answer
    x = 48,845.40

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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.