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Finding the Fourth Proportional to 27,503.50, 37,954.74 and 14,928.25

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Solution

The fourth proportional to 27,503.50, 37,954.74 and 14,928.25 is: 20,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,503.50 : 37,954.74 = 14,928.25 : x
  2. Step 2: Convert to fraction form
    27,503.50/37,954.74 = 14,928.25/x
  3. Step 3: Cross multiply
    27,503.50x = 37,954.74 × 14,928.25
  4. Step 4: Simplify right side
    27,503.50x = 566,597,847.41
  5. Step 5: Solve for x
    x = 566,597,847.41/27,503.50
  6. Step 6: Final answer
    x = 20,600.94

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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.