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Finding the Fourth Proportional to 92,189.96, 138,328 and 47,792.52

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Solution

The fourth proportional to 92,189.96, 138,328 and 47,792.52 is: 71,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,189.96 : 138,328 = 47,792.52 : x
  2. Step 2: Convert to fraction form
    92,189.96/138,328 = 47,792.52/x
  3. Step 3: Cross multiply
    92,189.96x = 138,328 × 47,792.52
  4. Step 4: Simplify right side
    92,189.96x = 6,611,043,706.56
  5. Step 5: Solve for x
    x = 6,611,043,706.56/92,189.96
  6. Step 6: Final answer
    x = 71,711.10

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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.