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Finding the Fourth Proportional to 54,837.84, 82,259.68 and 17,400.84

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Solution

The fourth proportional to 54,837.84, 82,259.68 and 17,400.84 is: 26,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,837.84 : 82,259.68 = 17,400.84 : x
  2. Step 2: Convert to fraction form
    54,837.84/82,259.68 = 17,400.84/x
  3. Step 3: Cross multiply
    54,837.84x = 82,259.68 × 17,400.84
  4. Step 4: Simplify right side
    54,837.84x = 1,431,387,486.63
  5. Step 5: Solve for x
    x = 1,431,387,486.63/54,837.84
  6. Step 6: Final answer
    x = 26,102.19

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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.