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Finding the Fourth Proportional to 113,947.94, 170,902.20 and 30,822.50

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Solution

The fourth proportional to 113,947.94, 170,902.20 and 30,822.50 is: 46,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,947.94 : 170,902.20 = 30,822.50 : x
  2. Step 2: Convert to fraction form
    113,947.94/170,902.20 = 30,822.50/x
  3. Step 3: Cross multiply
    113,947.94x = 170,902.20 × 30,822.50
  4. Step 4: Simplify right side
    113,947.94x = 5,267,633,059.50
  5. Step 5: Solve for x
    x = 5,267,633,059.50/113,947.94
  6. Step 6: Final answer
    x = 46,228.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.