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Finding the Fourth Proportional to 47,977.50, 71,969.88 and 12,917.46

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Solution

The fourth proportional to 47,977.50, 71,969.88 and 12,917.46 is: 19,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,977.50 : 71,969.88 = 12,917.46 : x
  2. Step 2: Convert to fraction form
    47,977.50/71,969.88 = 12,917.46/x
  3. Step 3: Cross multiply
    47,977.50x = 71,969.88 × 12,917.46
  4. Step 4: Simplify right side
    47,977.50x = 929,668,046.10
  5. Step 5: Solve for x
    x = 929,668,046.10/47,977.50
  6. Step 6: Final answer
    x = 19,377.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.