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Finding the Fourth Proportional to 52,125, 71,932.09 and 28,251.06

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Solution

The fourth proportional to 52,125, 71,932.09 and 28,251.06 is: 38,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125 : 71,932.09 = 28,251.06 : x
  2. Step 2: Convert to fraction form
    52,125/71,932.09 = 28,251.06/x
  3. Step 3: Cross multiply
    52,125x = 71,932.09 × 28,251.06
  4. Step 4: Simplify right side
    52,125x = 2,032,157,790.52
  5. Step 5: Solve for x
    x = 2,032,157,790.52/52,125
  6. Step 6: Final answer
    x = 38,986.24

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1.5x scale

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.