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Finding the Fourth Proportional to 36,585.16, 50,484.54 and 20,671

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Solution

The fourth proportional to 36,585.16, 50,484.54 and 20,671 is: 28,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585.16 : 50,484.54 = 20,671 : x
  2. Step 2: Convert to fraction form
    36,585.16/50,484.54 = 20,671/x
  3. Step 3: Cross multiply
    36,585.16x = 50,484.54 × 20,671
  4. Step 4: Simplify right side
    36,585.16x = 1,043,565,926.34
  5. Step 5: Solve for x
    x = 1,043,565,926.34/36,585.16
  6. Step 6: Final answer
    x = 28,524.30

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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.