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Finding the Fourth Proportional to 34,170, 47,143.64 and 26,977.20

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Solution

The fourth proportional to 34,170, 47,143.64 and 26,977.20 is: 37,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170 : 47,143.64 = 26,977.20 : x
  2. Step 2: Convert to fraction form
    34,170/47,143.64 = 26,977.20/x
  3. Step 3: Cross multiply
    34,170x = 47,143.64 × 26,977.20
  4. Step 4: Simplify right side
    34,170x = 1,271,803,405.01
  5. Step 5: Solve for x
    x = 1,271,803,405.01/34,170
  6. Step 6: Final answer
    x = 37,219.88

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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.