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Finding the Fourth Proportional to 32,431.50, 48,631.32 and 12,704.76

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Solution

The fourth proportional to 32,431.50, 48,631.32 and 12,704.76 is: 19,050.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.50 : 48,631.32 = 12,704.76 : x
  2. Step 2: Convert to fraction form
    32,431.50/48,631.32 = 12,704.76/x
  3. Step 3: Cross multiply
    32,431.50x = 48,631.32 × 12,704.76
  4. Step 4: Simplify right side
    32,431.50x = 617,849,249.08
  5. Step 5: Solve for x
    x = 617,849,249.08/32,431.50
  6. Step 6: Final answer
    x = 19,050.90

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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.