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Finding the Fourth Proportional to 47,817.61, 65,990.73 and 27,675.34

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Solution

The fourth proportional to 47,817.61, 65,990.73 and 27,675.34 is: 38,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,817.61 : 65,990.73 = 27,675.34 : x
  2. Step 2: Convert to fraction form
    47,817.61/65,990.73 = 27,675.34/x
  3. Step 3: Cross multiply
    47,817.61x = 65,990.73 × 27,675.34
  4. Step 4: Simplify right side
    47,817.61x = 1,826,315,828.40
  5. Step 5: Solve for x
    x = 1,826,315,828.40/47,817.61
  6. Step 6: Final answer
    x = 38,193.38

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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.