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Finding the Fourth Proportional to 92,486, 127,630.68 and 52,742

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Solution

The fourth proportional to 92,486, 127,630.68 and 52,742 is: 72,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,486 : 127,630.68 = 52,742 : x
  2. Step 2: Convert to fraction form
    92,486/127,630.68 = 52,742/x
  3. Step 3: Cross multiply
    92,486x = 127,630.68 × 52,742
  4. Step 4: Simplify right side
    92,486x = 6,731,497,324.56
  5. Step 5: Solve for x
    x = 6,731,497,324.56/92,486
  6. Step 6: Final answer
    x = 72,783.96

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