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Finding the Fourth Proportional to 52,041.20, 71,816.81 and 28,167.84

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Solution

The fourth proportional to 52,041.20, 71,816.81 and 28,167.84 is: 38,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,041.20 : 71,816.81 = 28,167.84 : x
  2. Step 2: Convert to fraction form
    52,041.20/71,816.81 = 28,167.84/x
  3. Step 3: Cross multiply
    52,041.20x = 71,816.81 × 28,167.84
  4. Step 4: Simplify right side
    52,041.20x = 2,022,924,272.55
  5. Step 5: Solve for x
    x = 2,022,924,272.55/52,041.20
  6. Step 6: Final answer
    x = 38,871.60

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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.