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Finding the Fourth Proportional to 36,806.16, 50,807.76 and 27,856.16

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Solution

The fourth proportional to 36,806.16, 50,807.76 and 27,856.16 is: 38,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,806.16 : 50,807.76 = 27,856.16 : x
  2. Step 2: Convert to fraction form
    36,806.16/50,807.76 = 27,856.16/x
  3. Step 3: Cross multiply
    36,806.16x = 50,807.76 × 27,856.16
  4. Step 4: Simplify right side
    36,806.16x = 1,415,309,091.80
  5. Step 5: Solve for x
    x = 1,415,309,091.80/36,806.16
  6. Step 6: Final answer
    x = 38,453.05

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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.