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Finding the Fourth Proportional to 50,497.75, 75,747.28 and 24,196.34

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Solution

The fourth proportional to 50,497.75, 75,747.28 and 24,196.34 is: 36,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,497.75 : 75,747.28 = 24,196.34 : x
  2. Step 2: Convert to fraction form
    50,497.75/75,747.28 = 24,196.34/x
  3. Step 3: Cross multiply
    50,497.75x = 75,747.28 × 24,196.34
  4. Step 4: Simplify right side
    50,497.75x = 1,832,806,501.73
  5. Step 5: Solve for x
    x = 1,832,806,501.73/50,497.75
  6. Step 6: Final answer
    x = 36,294.82

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