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Finding the Fourth Proportional to 31,564.34, 47,324.63 and 11,837.60

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Solution

The fourth proportional to 31,564.34, 47,324.63 and 11,837.60 is: 17,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.34 : 47,324.63 = 11,837.60 : x
  2. Step 2: Convert to fraction form
    31,564.34/47,324.63 = 11,837.60/x
  3. Step 3: Cross multiply
    31,564.34x = 47,324.63 × 11,837.60
  4. Step 4: Simplify right side
    31,564.34x = 560,209,744.28
  5. Step 5: Solve for x
    x = 560,209,744.28/31,564.34
  6. Step 6: Final answer
    x = 17,748.19

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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.