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Finding the Fourth Proportional to 83,172.44, 114,798.58 and 47,383.72

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Solution

The fourth proportional to 83,172.44, 114,798.58 and 47,383.72 is: 65,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172.44 : 114,798.58 = 47,383.72 : x
  2. Step 2: Convert to fraction form
    83,172.44/114,798.58 = 47,383.72/x
  3. Step 3: Cross multiply
    83,172.44x = 114,798.58 × 47,383.72
  4. Step 4: Simplify right side
    83,172.44x = 5,439,583,365.66
  5. Step 5: Solve for x
    x = 5,439,583,365.66/83,172.44
  6. Step 6: Final answer
    x = 65,401.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.