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Finding the Fourth Proportional to 45,825.12, 68,742 and 14,235.53

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Solution

The fourth proportional to 45,825.12, 68,742 and 14,235.53 is: 21,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,825.12 : 68,742 = 14,235.53 : x
  2. Step 2: Convert to fraction form
    45,825.12/68,742 = 14,235.53/x
  3. Step 3: Cross multiply
    45,825.12x = 68,742 × 14,235.53
  4. Step 4: Simplify right side
    45,825.12x = 978,578,459.55
  5. Step 5: Solve for x
    x = 978,578,459.55/45,825.12
  6. Step 6: Final answer
    x = 21,354.63

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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.