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Finding the Fourth Proportional to 52,130.22, 71,939.78 and 28,256.90

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Solution

The fourth proportional to 52,130.22, 71,939.78 and 28,256.90 is: 38,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,130.22 : 71,939.78 = 28,256.90 : x
  2. Step 2: Convert to fraction form
    52,130.22/71,939.78 = 28,256.90/x
  3. Step 3: Cross multiply
    52,130.22x = 71,939.78 × 28,256.90
  4. Step 4: Simplify right side
    52,130.22x = 2,032,795,169.48
  5. Step 5: Solve for x
    x = 2,032,795,169.48/52,130.22
  6. Step 6: Final answer
    x = 38,994.56

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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.