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Finding the Fourth Proportional to 30,971.70, 42,747.75 and 20,362.32

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Solution

The fourth proportional to 30,971.70, 42,747.75 and 20,362.32 is: 28,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.70 : 42,747.75 = 20,362.32 : x
  2. Step 2: Convert to fraction form
    30,971.70/42,747.75 = 20,362.32/x
  3. Step 3: Cross multiply
    30,971.70x = 42,747.75 × 20,362.32
  4. Step 4: Simplify right side
    30,971.70x = 870,443,364.78
  5. Step 5: Solve for x
    x = 870,443,364.78/30,971.70
  6. Step 6: Final answer
    x = 28,104.47

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