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Finding the Fourth Proportional to 43,402.56, 65,113.86 and 13,415.65

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Solution

The fourth proportional to 43,402.56, 65,113.86 and 13,415.65 is: 20,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,402.56 : 65,113.86 = 13,415.65 : x
  2. Step 2: Convert to fraction form
    43,402.56/65,113.86 = 13,415.65/x
  3. Step 3: Cross multiply
    43,402.56x = 65,113.86 × 13,415.65
  4. Step 4: Simplify right side
    43,402.56x = 873,544,755.91
  5. Step 5: Solve for x
    x = 873,544,755.91/43,402.56
  6. Step 6: Final answer
    x = 20,126.57

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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.