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Finding the Fourth Proportional to 93,493.80, 140,237.10 and 31,164.30

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Solution

The fourth proportional to 93,493.80, 140,237.10 and 31,164.30 is: 46,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,493.80 : 140,237.10 = 31,164.30 : x
  2. Step 2: Convert to fraction form
    93,493.80/140,237.10 = 31,164.30/x
  3. Step 3: Cross multiply
    93,493.80x = 140,237.10 × 31,164.30
  4. Step 4: Simplify right side
    93,493.80x = 4,370,391,055.53
  5. Step 5: Solve for x
    x = 4,370,391,055.53/93,493.80
  6. Step 6: Final answer
    x = 46,745.25

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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.