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Finding the Fourth Proportional to 53,202.86, 79,779.79 and 15,749.54

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Solution

The fourth proportional to 53,202.86, 79,779.79 and 15,749.54 is: 23,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,202.86 : 79,779.79 = 15,749.54 : x
  2. Step 2: Convert to fraction form
    53,202.86/79,779.79 = 15,749.54/x
  3. Step 3: Cross multiply
    53,202.86x = 79,779.79 × 15,749.54
  4. Step 4: Simplify right side
    53,202.86x = 1,256,494,993.80
  5. Step 5: Solve for x
    x = 1,256,494,993.80/53,202.86
  6. Step 6: Final answer
    x = 23,617.06

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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.