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Finding the Fourth Proportional to 36,142.75, 54,216.96 and 9,848.53

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Solution

The fourth proportional to 36,142.75, 54,216.96 and 9,848.53 is: 14,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.75 : 54,216.96 = 9,848.53 : x
  2. Step 2: Convert to fraction form
    36,142.75/54,216.96 = 9,848.53/x
  3. Step 3: Cross multiply
    36,142.75x = 54,216.96 × 9,848.53
  4. Step 4: Simplify right side
    36,142.75x = 533,957,357.07
  5. Step 5: Solve for x
    x = 533,957,357.07/36,142.75
  6. Step 6: Final answer
    x = 14,773.57

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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.