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Finding the Fourth Proportional to 75,977.67, 104,853.21 and 45,772.50

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Solution

The fourth proportional to 75,977.67, 104,853.21 and 45,772.50 is: 63,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,977.67 : 104,853.21 = 45,772.50 : x
  2. Step 2: Convert to fraction form
    75,977.67/104,853.21 = 45,772.50/x
  3. Step 3: Cross multiply
    75,977.67x = 104,853.21 × 45,772.50
  4. Step 4: Simplify right side
    75,977.67x = 4,799,393,554.73
  5. Step 5: Solve for x
    x = 4,799,393,554.73/75,977.67
  6. Step 6: Final answer
    x = 63,168.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.