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Finding the Fourth Proportional to 107,047.36, 160,718.46 and 54,493.48

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Solution

The fourth proportional to 107,047.36, 160,718.46 and 54,493.48 is: 81,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,047.36 : 160,718.46 = 54,493.48 : x
  2. Step 2: Convert to fraction form
    107,047.36/160,718.46 = 54,493.48/x
  3. Step 3: Cross multiply
    107,047.36x = 160,718.46 × 54,493.48
  4. Step 4: Simplify right side
    107,047.36x = 8,758,108,185.64
  5. Step 5: Solve for x
    x = 8,758,108,185.64/107,047.36
  6. Step 6: Final answer
    x = 81,815.27

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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.