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Finding the Fourth Proportional to 53,966.40, 80,949.60 and 48,717.60

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Solution

The fourth proportional to 53,966.40, 80,949.60 and 48,717.60 is: 73,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,966.40 : 80,949.60 = 48,717.60 : x
  2. Step 2: Convert to fraction form
    53,966.40/80,949.60 = 48,717.60/x
  3. Step 3: Cross multiply
    53,966.40x = 80,949.60 × 48,717.60
  4. Step 4: Simplify right side
    53,966.40x = 3,943,670,232.96
  5. Step 5: Solve for x
    x = 3,943,670,232.96/53,966.40
  6. Step 6: Final answer
    x = 73,076.40

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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.