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Finding the Fourth Proportional to 54,523.88, 81,797.34 and 17,585

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Solution

The fourth proportional to 54,523.88, 81,797.34 and 17,585 is: 26,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,523.88 : 81,797.34 = 17,585 : x
  2. Step 2: Convert to fraction form
    54,523.88/81,797.34 = 17,585/x
  3. Step 3: Cross multiply
    54,523.88x = 81,797.34 × 17,585
  4. Step 4: Simplify right side
    54,523.88x = 1,438,406,223.90
  5. Step 5: Solve for x
    x = 1,438,406,223.90/54,523.88
  6. Step 6: Final answer
    x = 26,381.22

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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.