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Finding the Fourth Proportional to 73,765.95, 110,671.46 and 31,093.47

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Solution

The fourth proportional to 73,765.95, 110,671.46 and 31,093.47 is: 46,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,765.95 : 110,671.46 = 31,093.47 : x
  2. Step 2: Convert to fraction form
    73,765.95/110,671.46 = 31,093.47/x
  3. Step 3: Cross multiply
    73,765.95x = 110,671.46 × 31,093.47
  4. Step 4: Simplify right side
    73,765.95x = 3,441,159,721.37
  5. Step 5: Solve for x
    x = 3,441,159,721.37/73,765.95
  6. Step 6: Final answer
    x = 46,649.70

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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.