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Finding the Fourth Proportional to 51,741.79, 77,610.51 and 14,805.79

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Solution

The fourth proportional to 51,741.79, 77,610.51 and 14,805.79 is: 22,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,741.79 : 77,610.51 = 14,805.79 : x
  2. Step 2: Convert to fraction form
    51,741.79/77,610.51 = 14,805.79/x
  3. Step 3: Cross multiply
    51,741.79x = 77,610.51 × 14,805.79
  4. Step 4: Simplify right side
    51,741.79x = 1,149,084,912.85
  5. Step 5: Solve for x
    x = 1,149,084,912.85/51,741.79
  6. Step 6: Final answer
    x = 22,208.06

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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.