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Finding the Fourth Proportional to 36,495.84, 54,743.76 and 13,109.52

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Solution

The fourth proportional to 36,495.84, 54,743.76 and 13,109.52 is: 19,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,495.84 : 54,743.76 = 13,109.52 : x
  2. Step 2: Convert to fraction form
    36,495.84/54,743.76 = 13,109.52/x
  3. Step 3: Cross multiply
    36,495.84x = 54,743.76 × 13,109.52
  4. Step 4: Simplify right side
    36,495.84x = 717,664,416.60
  5. Step 5: Solve for x
    x = 717,664,416.60/36,495.84
  6. Step 6: Final answer
    x = 19,664.28

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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.