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Finding the Fourth Proportional to 36,886.50, 50,904.18 and 20,119.50

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Solution

The fourth proportional to 36,886.50, 50,904.18 and 20,119.50 is: 27,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,886.50 : 50,904.18 = 20,119.50 : x
  2. Step 2: Convert to fraction form
    36,886.50/50,904.18 = 20,119.50/x
  3. Step 3: Cross multiply
    36,886.50x = 50,904.18 × 20,119.50
  4. Step 4: Simplify right side
    36,886.50x = 1,024,166,649.51
  5. Step 5: Solve for x
    x = 1,024,166,649.51/36,886.50
  6. Step 6: Final answer
    x = 27,765.35

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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.