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Finding the Fourth Proportional to 52,519.81, 78,783.31 and 15,077

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Solution

The fourth proportional to 52,519.81, 78,783.31 and 15,077 is: 22,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,519.81 : 78,783.31 = 15,077 : x
  2. Step 2: Convert to fraction form
    52,519.81/78,783.31 = 15,077/x
  3. Step 3: Cross multiply
    52,519.81x = 78,783.31 × 15,077
  4. Step 4: Simplify right side
    52,519.81x = 1,187,815,889.49
  5. Step 5: Solve for x
    x = 1,187,815,889.49/52,519.81
  6. Step 6: Final answer
    x = 22,616.53

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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.