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Finding the Fourth Proportional to 47,881.98, 71,817.48 and 18,299.16

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Solution

The fourth proportional to 47,881.98, 71,817.48 and 18,299.16 is: 27,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881.98 : 71,817.48 = 18,299.16 : x
  2. Step 2: Convert to fraction form
    47,881.98/71,817.48 = 18,299.16/x
  3. Step 3: Cross multiply
    47,881.98x = 71,817.48 × 18,299.16
  4. Step 4: Simplify right side
    47,881.98x = 1,314,199,557.32
  5. Step 5: Solve for x
    x = 1,314,199,557.32/47,881.98
  6. Step 6: Final answer
    x = 27,446.64

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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.