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Finding the Fourth Proportional to 31,501.59, 47,262.11 and 11,782.14

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Solution

The fourth proportional to 31,501.59, 47,262.11 and 11,782.14 is: 17,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.59 : 47,262.11 = 11,782.14 : x
  2. Step 2: Convert to fraction form
    31,501.59/47,262.11 = 11,782.14/x
  3. Step 3: Cross multiply
    31,501.59x = 47,262.11 × 11,782.14
  4. Step 4: Simplify right side
    31,501.59x = 556,848,796.72
  5. Step 5: Solve for x
    x = 556,848,796.72/31,501.59
  6. Step 6: Final answer
    x = 17,676.85

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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.