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Finding the Fourth Proportional to 81,900.68, 113,013.78 and 46,103

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Solution

The fourth proportional to 81,900.68, 113,013.78 and 46,103 is: 63,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,900.68 : 113,013.78 = 46,103 : x
  2. Step 2: Convert to fraction form
    81,900.68/113,013.78 = 46,103/x
  3. Step 3: Cross multiply
    81,900.68x = 113,013.78 × 46,103
  4. Step 4: Simplify right side
    81,900.68x = 5,210,274,299.34
  5. Step 5: Solve for x
    x = 5,210,274,299.34/81,900.68
  6. Step 6: Final answer
    x = 63,616.98

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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.