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Finding the Fourth Proportional to 27,357.75, 37,753.70 and 14,782.50

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Solution

The fourth proportional to 27,357.75, 37,753.70 and 14,782.50 is: 20,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,357.75 : 37,753.70 = 14,782.50 : x
  2. Step 2: Convert to fraction form
    27,357.75/37,753.70 = 14,782.50/x
  3. Step 3: Cross multiply
    27,357.75x = 37,753.70 × 14,782.50
  4. Step 4: Simplify right side
    27,357.75x = 558,093,996.34
  5. Step 5: Solve for x
    x = 558,093,996.34/27,357.75
  6. Step 6: Final answer
    x = 20,399.85

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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.