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Finding the Fourth Proportional to 76,237.82, 114,356.73 and 36,871.82

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Solution

The fourth proportional to 76,237.82, 114,356.73 and 36,871.82 is: 55,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,237.82 : 114,356.73 = 36,871.82 : x
  2. Step 2: Convert to fraction form
    76,237.82/114,356.73 = 36,871.82/x
  3. Step 3: Cross multiply
    76,237.82x = 114,356.73 × 36,871.82
  4. Step 4: Simplify right side
    76,237.82x = 4,216,540,759.67
  5. Step 5: Solve for x
    x = 4,216,540,759.67/76,237.82
  6. Step 6: Final answer
    x = 55,307.73

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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.