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Finding the Fourth Proportional to 31,676.54, 47,501.42 and 9,493.06

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Solution

The fourth proportional to 31,676.54, 47,501.42 and 9,493.06 is: 14,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,676.54 : 47,501.42 = 9,493.06 : x
  2. Step 2: Convert to fraction form
    31,676.54/47,501.42 = 9,493.06/x
  3. Step 3: Cross multiply
    31,676.54x = 47,501.42 × 9,493.06
  4. Step 4: Simplify right side
    31,676.54x = 450,933,830.15
  5. Step 5: Solve for x
    x = 450,933,830.15/31,676.54
  6. Step 6: Final answer
    x = 14,235.58

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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.