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Finding the Fourth Proportional to 31,388, 43,319.28 and 18,140

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Solution

The fourth proportional to 31,388, 43,319.28 and 18,140 is: 25,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388 : 43,319.28 = 18,140 : x
  2. Step 2: Convert to fraction form
    31,388/43,319.28 = 18,140/x
  3. Step 3: Cross multiply
    31,388x = 43,319.28 × 18,140
  4. Step 4: Simplify right side
    31,388x = 785,811,739.20
  5. Step 5: Solve for x
    x = 785,811,739.20/31,388
  6. Step 6: Final answer
    x = 25,035.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.