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Finding the Fourth Proportional to 32,467, 48,701.89 and 12,749.82

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Solution

The fourth proportional to 32,467, 48,701.89 and 12,749.82 is: 19,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467 : 48,701.89 = 12,749.82 : x
  2. Step 2: Convert to fraction form
    32,467/48,701.89 = 12,749.82/x
  3. Step 3: Cross multiply
    32,467x = 48,701.89 × 12,749.82
  4. Step 4: Simplify right side
    32,467x = 620,940,331.16
  5. Step 5: Solve for x
    x = 620,940,331.16/32,467
  6. Step 6: Final answer
    x = 19,125.28

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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.