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Finding the Fourth Proportional to 36,564.84, 54,819.48 and 11,590.50

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Solution

The fourth proportional to 36,564.84, 54,819.48 and 11,590.50 is: 17,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,564.84 : 54,819.48 = 11,590.50 : x
  2. Step 2: Convert to fraction form
    36,564.84/54,819.48 = 11,590.50/x
  3. Step 3: Cross multiply
    36,564.84x = 54,819.48 × 11,590.50
  4. Step 4: Simplify right side
    36,564.84x = 635,385,182.94
  5. Step 5: Solve for x
    x = 635,385,182.94/36,564.84
  6. Step 6: Final answer
    x = 17,376.94

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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.