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Finding the Fourth Proportional to 47,381.34, 71,071.72 and 11,842.48

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Solution

The fourth proportional to 47,381.34, 71,071.72 and 11,842.48 is: 17,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,381.34 : 71,071.72 = 11,842.48 : x
  2. Step 2: Convert to fraction form
    47,381.34/71,071.72 = 11,842.48/x
  3. Step 3: Cross multiply
    47,381.34x = 71,071.72 × 11,842.48
  4. Step 4: Simplify right side
    47,381.34x = 841,665,481.90
  5. Step 5: Solve for x
    x = 841,665,481.90/47,381.34
  6. Step 6: Final answer
    x = 17,763.65

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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.