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Finding the Fourth Proportional to 54,843.84, 82,254.06 and 17,407.26

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Solution

The fourth proportional to 54,843.84, 82,254.06 and 17,407.26 is: 26,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.84 : 82,254.06 = 17,407.26 : x
  2. Step 2: Convert to fraction form
    54,843.84/82,254.06 = 17,407.26/x
  3. Step 3: Cross multiply
    54,843.84x = 82,254.06 × 17,407.26
  4. Step 4: Simplify right side
    54,843.84x = 1,431,817,808.48
  5. Step 5: Solve for x
    x = 1,431,817,808.48/54,843.84
  6. Step 6: Final answer
    x = 26,107.18

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1.5x scale

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.