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Finding the Fourth Proportional to 36,584, 54,805.88 and 21,748

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Solution

The fourth proportional to 36,584, 54,805.88 and 21,748 is: 32,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,584 : 54,805.88 = 21,748 : x
  2. Step 2: Convert to fraction form
    36,584/54,805.88 = 21,748/x
  3. Step 3: Cross multiply
    36,584x = 54,805.88 × 21,748
  4. Step 4: Simplify right side
    36,584x = 1,191,918,278.24
  5. Step 5: Solve for x
    x = 1,191,918,278.24/36,584
  6. Step 6: Final answer
    x = 32,580.32

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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.