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Finding the Fourth Proportional to 43,057.89, 64,551.98 and 13,460.49

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Solution

The fourth proportional to 43,057.89, 64,551.98 and 13,460.49 is: 20,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,057.89 : 64,551.98 = 13,460.49 : x
  2. Step 2: Convert to fraction form
    43,057.89/64,551.98 = 13,460.49/x
  3. Step 3: Cross multiply
    43,057.89x = 64,551.98 × 13,460.49
  4. Step 4: Simplify right side
    43,057.89x = 868,901,314.92
  5. Step 5: Solve for x
    x = 868,901,314.92/43,057.89
  6. Step 6: Final answer
    x = 20,179.84

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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.