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Finding the Fourth Proportional to 47,603.80, 71,405.70 and 18,022.60

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Solution

The fourth proportional to 47,603.80, 71,405.70 and 18,022.60 is: 27,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,603.80 : 71,405.70 = 18,022.60 : x
  2. Step 2: Convert to fraction form
    47,603.80/71,405.70 = 18,022.60/x
  3. Step 3: Cross multiply
    47,603.80x = 71,405.70 × 18,022.60
  4. Step 4: Simplify right side
    47,603.80x = 1,286,916,368.82
  5. Step 5: Solve for x
    x = 1,286,916,368.82/47,603.80
  6. Step 6: Final answer
    x = 27,033.90

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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.