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Finding the Fourth Proportional to 54,522.88, 81,795.84 and 17,584

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Solution

The fourth proportional to 54,522.88, 81,795.84 and 17,584 is: 26,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,522.88 : 81,795.84 = 17,584 : x
  2. Step 2: Convert to fraction form
    54,522.88/81,795.84 = 17,584/x
  3. Step 3: Cross multiply
    54,522.88x = 81,795.84 × 17,584
  4. Step 4: Simplify right side
    54,522.88x = 1,438,298,050.56
  5. Step 5: Solve for x
    x = 1,438,298,050.56/54,522.88
  6. Step 6: Final answer
    x = 26,379.72

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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.