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Finding the Fourth Proportional to 34,170.24, 47,139.50 and 20,017.10

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Solution

The fourth proportional to 34,170.24, 47,139.50 and 20,017.10 is: 27,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170.24 : 47,139.50 = 20,017.10 : x
  2. Step 2: Convert to fraction form
    34,170.24/47,139.50 = 20,017.10/x
  3. Step 3: Cross multiply
    34,170.24x = 47,139.50 × 20,017.10
  4. Step 4: Simplify right side
    34,170.24x = 943,596,085.45
  5. Step 5: Solve for x
    x = 943,596,085.45/34,170.24
  6. Step 6: Final answer
    x = 27,614.56

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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.