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Finding the Fourth Proportional to 27,951, 38,572.50 and 15,376.68

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Solution

The fourth proportional to 27,951, 38,572.50 and 15,376.68 is: 21,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951 : 38,572.50 = 15,376.68 : x
  2. Step 2: Convert to fraction form
    27,951/38,572.50 = 15,376.68/x
  3. Step 3: Cross multiply
    27,951x = 38,572.50 × 15,376.68
  4. Step 4: Simplify right side
    27,951x = 593,116,989.30
  5. Step 5: Solve for x
    x = 593,116,989.30/27,951
  6. Step 6: Final answer
    x = 21,219.88

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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.