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Finding the Fourth Proportional to 24,142.50, 36,219.67 and 19,504.53

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Solution

The fourth proportional to 24,142.50, 36,219.67 and 19,504.53 is: 29,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.50 : 36,219.67 = 19,504.53 : x
  2. Step 2: Convert to fraction form
    24,142.50/36,219.67 = 19,504.53/x
  3. Step 3: Cross multiply
    24,142.50x = 36,219.67 × 19,504.53
  4. Step 4: Simplify right side
    24,142.50x = 706,447,591.34
  5. Step 5: Solve for x
    x = 706,447,591.34/24,142.50
  6. Step 6: Final answer
    x = 29,261.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.