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Finding the Fourth Proportional to 53,491.60, 80,410.20 and 49,344.40

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Solution

The fourth proportional to 53,491.60, 80,410.20 and 49,344.40 is: 74,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,491.60 : 80,410.20 = 49,344.40 : x
  2. Step 2: Convert to fraction form
    53,491.60/80,410.20 = 49,344.40/x
  3. Step 3: Cross multiply
    53,491.60x = 80,410.20 × 49,344.40
  4. Step 4: Simplify right side
    53,491.60x = 3,967,793,072.88
  5. Step 5: Solve for x
    x = 3,967,793,072.88/53,491.60
  6. Step 6: Final answer
    x = 74,176.00

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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.