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Finding the Fourth Proportional to 45,957.58, 68,942.24 and 16,378.40

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Solution

The fourth proportional to 45,957.58, 68,942.24 and 16,378.40 is: 24,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,957.58 : 68,942.24 = 16,378.40 : x
  2. Step 2: Convert to fraction form
    45,957.58/68,942.24 = 16,378.40/x
  3. Step 3: Cross multiply
    45,957.58x = 68,942.24 × 16,378.40
  4. Step 4: Simplify right side
    45,957.58x = 1,129,163,735.50
  5. Step 5: Solve for x
    x = 1,129,163,735.50/45,957.58
  6. Step 6: Final answer
    x = 24,569.70

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Why These Related Problems?

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