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Finding the Fourth Proportional to 53,764.60, 80,663.10 and 38,212.60

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Solution

The fourth proportional to 53,764.60, 80,663.10 and 38,212.60 is: 57,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,764.60 : 80,663.10 = 38,212.60 : x
  2. Step 2: Convert to fraction form
    53,764.60/80,663.10 = 38,212.60/x
  3. Step 3: Cross multiply
    53,764.60x = 80,663.10 × 38,212.60
  4. Step 4: Simplify right side
    53,764.60x = 3,082,346,775.06
  5. Step 5: Solve for x
    x = 3,082,346,775.06/53,764.60
  6. Step 6: Final answer
    x = 57,330.41

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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.