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Finding the Fourth Proportional to 50,176.32, 69,246.40 and 27,820.32

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Solution

The fourth proportional to 50,176.32, 69,246.40 and 27,820.32 is: 38,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,176.32 : 69,246.40 = 27,820.32 : x
  2. Step 2: Convert to fraction form
    50,176.32/69,246.40 = 27,820.32/x
  3. Step 3: Cross multiply
    50,176.32x = 69,246.40 × 27,820.32
  4. Step 4: Simplify right side
    50,176.32x = 1,926,457,006.85
  5. Step 5: Solve for x
    x = 1,926,457,006.85/50,176.32
  6. Step 6: Final answer
    x = 38,393.75

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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.