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Finding the Fourth Proportional to 92,052.70, 138,077.65 and 41,415.96

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Solution

The fourth proportional to 92,052.70, 138,077.65 and 41,415.96 is: 62,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,052.70 : 138,077.65 = 41,415.96 : x
  2. Step 2: Convert to fraction form
    92,052.70/138,077.65 = 41,415.96/x
  3. Step 3: Cross multiply
    92,052.70x = 138,077.65 × 41,415.96
  4. Step 4: Simplify right side
    92,052.70x = 5,718,618,429.29
  5. Step 5: Solve for x
    x = 5,718,618,429.29/92,052.70
  6. Step 6: Final answer
    x = 62,123.31

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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.