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Finding the Fourth Proportional to 50,443.73, 75,677.07 and 16,709.66

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Solution

The fourth proportional to 50,443.73, 75,677.07 and 16,709.66 is: 25,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,443.73 : 75,677.07 = 16,709.66 : x
  2. Step 2: Convert to fraction form
    50,443.73/75,677.07 = 16,709.66/x
  3. Step 3: Cross multiply
    50,443.73x = 75,677.07 × 16,709.66
  4. Step 4: Simplify right side
    50,443.73x = 1,264,538,109.50
  5. Step 5: Solve for x
    x = 1,264,538,109.50/50,443.73
  6. Step 6: Final answer
    x = 25,068.29

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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.