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Finding the Fourth Proportional to 44,994.56, 67,490.16 and 13,829

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Solution

The fourth proportional to 44,994.56, 67,490.16 and 13,829 is: 20,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,994.56 : 67,490.16 = 13,829 : x
  2. Step 2: Convert to fraction form
    44,994.56/67,490.16 = 13,829/x
  3. Step 3: Cross multiply
    44,994.56x = 67,490.16 × 13,829
  4. Step 4: Simplify right side
    44,994.56x = 933,321,422.64
  5. Step 5: Solve for x
    x = 933,321,422.64/44,994.56
  6. Step 6: Final answer
    x = 20,742.98

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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.