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Finding the Fourth Proportional to 54,642.74, 81,956.94 and 17,203.01

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Solution

The fourth proportional to 54,642.74, 81,956.94 and 17,203.01 is: 25,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642.74 : 81,956.94 = 17,203.01 : x
  2. Step 2: Convert to fraction form
    54,642.74/81,956.94 = 17,203.01/x
  3. Step 3: Cross multiply
    54,642.74x = 81,956.94 × 17,203.01
  4. Step 4: Simplify right side
    54,642.74x = 1,409,906,231.03
  5. Step 5: Solve for x
    x = 1,409,906,231.03/54,642.74
  6. Step 6: Final answer
    x = 25,802.26

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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.