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Finding the Fourth Proportional to 93,942.30, 140,928.98 and 46,559.60

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Solution

The fourth proportional to 93,942.30, 140,928.98 and 46,559.60 is: 69,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,942.30 : 140,928.98 = 46,559.60 : x
  2. Step 2: Convert to fraction form
    93,942.30/140,928.98 = 46,559.60/x
  3. Step 3: Cross multiply
    93,942.30x = 140,928.98 × 46,559.60
  4. Step 4: Simplify right side
    93,942.30x = 6,561,595,999.77
  5. Step 5: Solve for x
    x = 6,561,595,999.77/93,942.30
  6. Step 6: Final answer
    x = 69,847.09

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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.