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Finding the Fourth Proportional to 50,858.88, 76,298.40 and 19,694.40

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Solution

The fourth proportional to 50,858.88, 76,298.40 and 19,694.40 is: 29,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,858.88 : 76,298.40 = 19,694.40 : x
  2. Step 2: Convert to fraction form
    50,858.88/76,298.40 = 19,694.40/x
  3. Step 3: Cross multiply
    50,858.88x = 76,298.40 × 19,694.40
  4. Step 4: Simplify right side
    50,858.88x = 1,502,651,208.96
  5. Step 5: Solve for x
    x = 1,502,651,208.96/50,858.88
  6. Step 6: Final answer
    x = 29,545.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.