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Finding the Fourth Proportional to 92,546.82, 138,802.71 and 45,114.27

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Solution

The fourth proportional to 92,546.82, 138,802.71 and 45,114.27 is: 67,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,546.82 : 138,802.71 = 45,114.27 : x
  2. Step 2: Convert to fraction form
    92,546.82/138,802.71 = 45,114.27/x
  3. Step 3: Cross multiply
    92,546.82x = 138,802.71 × 45,114.27
  4. Step 4: Simplify right side
    92,546.82x = 6,261,982,584.34
  5. Step 5: Solve for x
    x = 6,261,982,584.34/92,546.82
  6. Step 6: Final answer
    x = 67,662.86

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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.