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Finding the Fourth Proportional to 50,179.32, 69,250.54 and 27,823.32

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Solution

The fourth proportional to 50,179.32, 69,250.54 and 27,823.32 is: 38,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,179.32 : 69,250.54 = 27,823.32 : x
  2. Step 2: Convert to fraction form
    50,179.32/69,250.54 = 27,823.32/x
  3. Step 3: Cross multiply
    50,179.32x = 69,250.54 × 27,823.32
  4. Step 4: Simplify right side
    50,179.32x = 1,926,779,934.59
  5. Step 5: Solve for x
    x = 1,926,779,934.59/50,179.32
  6. Step 6: Final answer
    x = 38,397.89

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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.