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Finding the Fourth Proportional to 83,000.25, 124,501.46 and 27,596.25

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Solution

The fourth proportional to 83,000.25, 124,501.46 and 27,596.25 is: 41,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000.25 : 124,501.46 = 27,596.25 : x
  2. Step 2: Convert to fraction form
    83,000.25/124,501.46 = 27,596.25/x
  3. Step 3: Cross multiply
    83,000.25x = 124,501.46 × 27,596.25
  4. Step 4: Simplify right side
    83,000.25x = 3,435,773,277.54
  5. Step 5: Solve for x
    x = 3,435,773,277.54/83,000.25
  6. Step 6: Final answer
    x = 41,394.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.