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Finding the Fourth Proportional to 43,834.50, 65,718.90 and 14,234.67

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Solution

The fourth proportional to 43,834.50, 65,718.90 and 14,234.67 is: 21,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,834.50 : 65,718.90 = 14,234.67 : x
  2. Step 2: Convert to fraction form
    43,834.50/65,718.90 = 14,234.67/x
  3. Step 3: Cross multiply
    43,834.50x = 65,718.90 × 14,234.67
  4. Step 4: Simplify right side
    43,834.50x = 935,486,854.26
  5. Step 5: Solve for x
    x = 935,486,854.26/43,834.50
  6. Step 6: Final answer
    x = 21,341.34

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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.