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Finding the Fourth Proportional to 50,492.43, 69,676.38 and 27,830.17

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Solution

The fourth proportional to 50,492.43, 69,676.38 and 27,830.17 is: 38,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.43 : 69,676.38 = 27,830.17 : x
  2. Step 2: Convert to fraction form
    50,492.43/69,676.38 = 27,830.17/x
  3. Step 3: Cross multiply
    50,492.43x = 69,676.38 × 27,830.17
  4. Step 4: Simplify right side
    50,492.43x = 1,939,105,587.48
  5. Step 5: Solve for x
    x = 1,939,105,587.48/50,492.43
  6. Step 6: Final answer
    x = 38,403.89

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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.