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Finding the Fourth Proportional to 50,299, 75,460.17 and 14,758.89

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Solution

The fourth proportional to 50,299, 75,460.17 and 14,758.89 is: 22,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,299 : 75,460.17 = 14,758.89 : x
  2. Step 2: Convert to fraction form
    50,299/75,460.17 = 14,758.89/x
  3. Step 3: Cross multiply
    50,299x = 75,460.17 × 14,758.89
  4. Step 4: Simplify right side
    50,299x = 1,113,708,348.41
  5. Step 5: Solve for x
    x = 1,113,708,348.41/50,299
  6. Step 6: Final answer
    x = 22,141.76

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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.