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Finding the Fourth Proportional to 42,990.68, 64,481.16 and 13,406

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Solution

The fourth proportional to 42,990.68, 64,481.16 and 13,406 is: 20,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,990.68 : 64,481.16 = 13,406 : x
  2. Step 2: Convert to fraction form
    42,990.68/64,481.16 = 13,406/x
  3. Step 3: Cross multiply
    42,990.68x = 64,481.16 × 13,406
  4. Step 4: Simplify right side
    42,990.68x = 864,434,430.96
  5. Step 5: Solve for x
    x = 864,434,430.96/42,990.68
  6. Step 6: Final answer
    x = 20,107.48

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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.