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Finding the Fourth Proportional to 76,467, 105,525.68 and 42,932.28

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Solution

The fourth proportional to 76,467, 105,525.68 and 42,932.28 is: 59,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467 : 105,525.68 = 42,932.28 : x
  2. Step 2: Convert to fraction form
    76,467/105,525.68 = 42,932.28/x
  3. Step 3: Cross multiply
    76,467x = 105,525.68 × 42,932.28
  4. Step 4: Simplify right side
    76,467x = 4,530,458,040.95
  5. Step 5: Solve for x
    x = 4,530,458,040.95/76,467
  6. Step 6: Final answer
    x = 59,247.23

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