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Finding the Fourth Proportional to 52,012.80, 71,777.67 and 28,139.46

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Solution

The fourth proportional to 52,012.80, 71,777.67 and 28,139.46 is: 38,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012.80 : 71,777.67 = 28,139.46 : x
  2. Step 2: Convert to fraction form
    52,012.80/71,777.67 = 28,139.46/x
  3. Step 3: Cross multiply
    52,012.80x = 71,777.67 × 28,139.46
  4. Step 4: Simplify right side
    52,012.80x = 2,019,784,873.86
  5. Step 5: Solve for x
    x = 2,019,784,873.86/52,012.80
  6. Step 6: Final answer
    x = 38,832.46

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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.