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Finding the Fourth Proportional to 52,771.70, 72,824.43 and 28,572.55

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Solution

The fourth proportional to 52,771.70, 72,824.43 and 28,572.55 is: 39,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771.70 : 72,824.43 = 28,572.55 : x
  2. Step 2: Convert to fraction form
    52,771.70/72,824.43 = 28,572.55/x
  3. Step 3: Cross multiply
    52,771.70x = 72,824.43 × 28,572.55
  4. Step 4: Simplify right side
    52,771.70x = 2,080,779,160.41
  5. Step 5: Solve for x
    x = 2,080,779,160.41/52,771.70
  6. Step 6: Final answer
    x = 39,429.83

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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.