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Finding the Fourth Proportional to 53,201.68, 79,814.19 and 15,764.68

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Solution

The fourth proportional to 53,201.68, 79,814.19 and 15,764.68 is: 23,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,201.68 : 79,814.19 = 15,764.68 : x
  2. Step 2: Convert to fraction form
    53,201.68/79,814.19 = 15,764.68/x
  3. Step 3: Cross multiply
    53,201.68x = 79,814.19 × 15,764.68
  4. Step 4: Simplify right side
    53,201.68x = 1,258,244,765.74
  5. Step 5: Solve for x
    x = 1,258,244,765.74/53,201.68
  6. Step 6: Final answer
    x = 23,650.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.