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Finding the Fourth Proportional to 32,564.14, 48,813 and 12,834.70

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Solution

The fourth proportional to 32,564.14, 48,813 and 12,834.70 is: 19,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.14 : 48,813 = 12,834.70 : x
  2. Step 2: Convert to fraction form
    32,564.14/48,813 = 12,834.70/x
  3. Step 3: Cross multiply
    32,564.14x = 48,813 × 12,834.70
  4. Step 4: Simplify right side
    32,564.14x = 626,500,211.10
  5. Step 5: Solve for x
    x = 626,500,211.10/32,564.14
  6. Step 6: Final answer
    x = 19,238.96

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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.