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Finding the Fourth Proportional to 53,195.37, 79,768.53 and 15,742.05

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Solution

The fourth proportional to 53,195.37, 79,768.53 and 15,742.05 is: 23,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,195.37 : 79,768.53 = 15,742.05 : x
  2. Step 2: Convert to fraction form
    53,195.37/79,768.53 = 15,742.05/x
  3. Step 3: Cross multiply
    53,195.37x = 79,768.53 × 15,742.05
  4. Step 4: Simplify right side
    53,195.37x = 1,255,720,187.69
  5. Step 5: Solve for x
    x = 1,255,720,187.69/53,195.37
  6. Step 6: Final answer
    x = 23,605.82

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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.