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Finding the Fourth Proportional to 52,142.61, 71,956.58 and 28,269.21

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Solution

The fourth proportional to 52,142.61, 71,956.58 and 28,269.21 is: 39,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.61 : 71,956.58 = 28,269.21 : x
  2. Step 2: Convert to fraction form
    52,142.61/71,956.58 = 28,269.21/x
  3. Step 3: Cross multiply
    52,142.61x = 71,956.58 × 28,269.21
  4. Step 4: Simplify right side
    52,142.61x = 2,034,155,529.56
  5. Step 5: Solve for x
    x = 2,034,155,529.56/52,142.61
  6. Step 6: Final answer
    x = 39,011.39

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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.