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Finding the Fourth Proportional to 92,213.76, 138,271.14 and 29,022.06

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Solution

The fourth proportional to 92,213.76, 138,271.14 and 29,022.06 is: 43,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,213.76 : 138,271.14 = 29,022.06 : x
  2. Step 2: Convert to fraction form
    92,213.76/138,271.14 = 29,022.06/x
  3. Step 3: Cross multiply
    92,213.76x = 138,271.14 × 29,022.06
  4. Step 4: Simplify right side
    92,213.76x = 4,012,913,321.35
  5. Step 5: Solve for x
    x = 4,012,913,321.35/92,213.76
  6. Step 6: Final answer
    x = 43,517.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.