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Finding the Fourth Proportional to 106,922.64, 160,374.60 and 32,059.50

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Solution

The fourth proportional to 106,922.64, 160,374.60 and 32,059.50 is: 48,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,922.64 : 160,374.60 = 32,059.50 : x
  2. Step 2: Convert to fraction form
    106,922.64/160,374.60 = 32,059.50/x
  3. Step 3: Cross multiply
    106,922.64x = 160,374.60 × 32,059.50
  4. Step 4: Simplify right side
    106,922.64x = 5,141,529,488.70
  5. Step 5: Solve for x
    x = 5,141,529,488.70/106,922.64
  6. Step 6: Final answer
    x = 48,086.44

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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.