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Finding the Fourth Proportional to 47,969.96, 71,955.11 and 14,689.89

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Solution

The fourth proportional to 47,969.96, 71,955.11 and 14,689.89 is: 22,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,969.96 : 71,955.11 = 14,689.89 : x
  2. Step 2: Convert to fraction form
    47,969.96/71,955.11 = 14,689.89/x
  3. Step 3: Cross multiply
    47,969.96x = 71,955.11 × 14,689.89
  4. Step 4: Simplify right side
    47,969.96x = 1,057,012,687.56
  5. Step 5: Solve for x
    x = 1,057,012,687.56/47,969.96
  6. Step 6: Final answer
    x = 22,034.89

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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.