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Finding the Fourth Proportional to 107,051.36, 160,724.46 and 54,497.48

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Solution

The fourth proportional to 107,051.36, 160,724.46 and 54,497.48 is: 81,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,051.36 : 160,724.46 = 54,497.48 : x
  2. Step 2: Convert to fraction form
    107,051.36/160,724.46 = 54,497.48/x
  3. Step 3: Cross multiply
    107,051.36x = 160,724.46 × 54,497.48
  4. Step 4: Simplify right side
    107,051.36x = 8,759,078,044.36
  5. Step 5: Solve for x
    x = 8,759,078,044.36/107,051.36
  6. Step 6: Final answer
    x = 81,821.27

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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.