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Finding the Fourth Proportional to 43,461.54, 65,189.07 and 13,882.50

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Solution

The fourth proportional to 43,461.54, 65,189.07 and 13,882.50 is: 20,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,461.54 : 65,189.07 = 13,882.50 : x
  2. Step 2: Convert to fraction form
    43,461.54/65,189.07 = 13,882.50/x
  3. Step 3: Cross multiply
    43,461.54x = 65,189.07 × 13,882.50
  4. Step 4: Simplify right side
    43,461.54x = 904,987,264.28
  5. Step 5: Solve for x
    x = 904,987,264.28/43,461.54
  6. Step 6: Final answer
    x = 20,822.72

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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.