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Finding the Fourth Proportional to 105,241.80, 157,724.46 and 49,853.64

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Solution

The fourth proportional to 105,241.80, 157,724.46 and 49,853.64 is: 74,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,241.80 : 157,724.46 = 49,853.64 : x
  2. Step 2: Convert to fraction form
    105,241.80/157,724.46 = 49,853.64/x
  3. Step 3: Cross multiply
    105,241.80x = 157,724.46 × 49,853.64
  4. Step 4: Simplify right side
    105,241.80x = 7,863,138,448.03
  5. Step 5: Solve for x
    x = 7,863,138,448.03/105,241.80
  6. Step 6: Final answer
    x = 74,714.97

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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.