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Finding the Fourth Proportional to 50,490.30, 69,677.08 and 27,830.09

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Solution

The fourth proportional to 50,490.30, 69,677.08 and 27,830.09 is: 38,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490.30 : 69,677.08 = 27,830.09 : x
  2. Step 2: Convert to fraction form
    50,490.30/69,677.08 = 27,830.09/x
  3. Step 3: Cross multiply
    50,490.30x = 69,677.08 × 27,830.09
  4. Step 4: Simplify right side
    50,490.30x = 1,939,119,407.34
  5. Step 5: Solve for x
    x = 1,939,119,407.34/50,490.30
  6. Step 6: Final answer
    x = 38,405.78

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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.