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Finding the Fourth Proportional to 53,493.60, 80,240.40 and 49,346.40

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Solution

The fourth proportional to 53,493.60, 80,240.40 and 49,346.40 is: 74,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,493.60 : 80,240.40 = 49,346.40 : x
  2. Step 2: Convert to fraction form
    53,493.60/80,240.40 = 49,346.40/x
  3. Step 3: Cross multiply
    53,493.60x = 80,240.40 × 49,346.40
  4. Step 4: Simplify right side
    53,493.60x = 3,959,574,874.56
  5. Step 5: Solve for x
    x = 3,959,574,874.56/53,493.60
  6. Step 6: Final answer
    x = 74,019.60

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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.