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Finding the Fourth Proportional to 114,582.44, 171,881.94 and 47,955.54

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Solution

The fourth proportional to 114,582.44, 171,881.94 and 47,955.54 is: 71,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,582.44 : 171,881.94 = 47,955.54 : x
  2. Step 2: Convert to fraction form
    114,582.44/171,881.94 = 47,955.54/x
  3. Step 3: Cross multiply
    114,582.44x = 171,881.94 × 47,955.54
  4. Step 4: Simplify right side
    114,582.44x = 8,242,691,248.95
  5. Step 5: Solve for x
    x = 8,242,691,248.95/114,582.44
  6. Step 6: Final answer
    x = 71,936.78

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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.