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Finding the Fourth Proportional to 27,672.75, 38,188.53 and 15,097.50

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Solution

The fourth proportional to 27,672.75, 38,188.53 and 15,097.50 is: 20,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.75 : 38,188.53 = 15,097.50 : x
  2. Step 2: Convert to fraction form
    27,672.75/38,188.53 = 15,097.50/x
  3. Step 3: Cross multiply
    27,672.75x = 38,188.53 × 15,097.50
  4. Step 4: Simplify right side
    27,672.75x = 576,551,331.68
  5. Step 5: Solve for x
    x = 576,551,331.68/27,672.75
  6. Step 6: Final answer
    x = 20,834.62

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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.