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Finding the Fourth Proportional to 52,041.63, 71,817.38 and 28,168.24

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Solution

The fourth proportional to 52,041.63, 71,817.38 and 28,168.24 is: 38,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,041.63 : 71,817.38 = 28,168.24 : x
  2. Step 2: Convert to fraction form
    52,041.63/71,817.38 = 28,168.24/x
  3. Step 3: Cross multiply
    52,041.63x = 71,817.38 × 28,168.24
  4. Step 4: Simplify right side
    52,041.63x = 2,022,969,196.01
  5. Step 5: Solve for x
    x = 2,022,969,196.01/52,041.63
  6. Step 6: Final answer
    x = 38,872.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.