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Finding the Fourth Proportional to 76,634, 105,754.92 and 43,100.72

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Solution

The fourth proportional to 76,634, 105,754.92 and 43,100.72 is: 59,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,634 : 105,754.92 = 43,100.72 : x
  2. Step 2: Convert to fraction form
    76,634/105,754.92 = 43,100.72/x
  3. Step 3: Cross multiply
    76,634x = 105,754.92 × 43,100.72
  4. Step 4: Simplify right side
    76,634x = 4,558,113,195.54
  5. Step 5: Solve for x
    x = 4,558,113,195.54/76,634
  6. Step 6: Final answer
    x = 59,478.99

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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.