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Finding the Fourth Proportional to 50,077.71, 69,107.40 and 27,416.88

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Solution

The fourth proportional to 50,077.71, 69,107.40 and 27,416.88 is: 37,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,077.71 : 69,107.40 = 27,416.88 : x
  2. Step 2: Convert to fraction form
    50,077.71/69,107.40 = 27,416.88/x
  3. Step 3: Cross multiply
    50,077.71x = 69,107.40 × 27,416.88
  4. Step 4: Simplify right side
    50,077.71x = 1,894,709,292.91
  5. Step 5: Solve for x
    x = 1,894,709,292.91/50,077.71
  6. Step 6: Final answer
    x = 37,835.38

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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.