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Finding the Fourth Proportional to 50,498, 75,747.04 and 19,333.28

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Solution

The fourth proportional to 50,498, 75,747.04 and 19,333.28 is: 28,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498 : 75,747.04 = 19,333.28 : x
  2. Step 2: Convert to fraction form
    50,498/75,747.04 = 19,333.28/x
  3. Step 3: Cross multiply
    50,498x = 75,747.04 × 19,333.28
  4. Step 4: Simplify right side
    50,498x = 1,464,438,733.49
  5. Step 5: Solve for x
    x = 1,464,438,733.49/50,498
  6. Step 6: Final answer
    x = 28,999.94

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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.