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Finding the Fourth Proportional to 35,191.64, 48,565.25 and 20,084

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Solution

The fourth proportional to 35,191.64, 48,565.25 and 20,084 is: 27,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,191.64 : 48,565.25 = 20,084 : x
  2. Step 2: Convert to fraction form
    35,191.64/48,565.25 = 20,084/x
  3. Step 3: Cross multiply
    35,191.64x = 48,565.25 × 20,084
  4. Step 4: Simplify right side
    35,191.64x = 975,384,481
  5. Step 5: Solve for x
    x = 975,384,481/35,191.64
  6. Step 6: Final answer
    x = 27,716.37

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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.