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Finding the Fourth Proportional to 34,754.66, 52,201.80 and 20,742.06

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Solution

The fourth proportional to 34,754.66, 52,201.80 and 20,742.06 is: 31,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,754.66 : 52,201.80 = 20,742.06 : x
  2. Step 2: Convert to fraction form
    34,754.66/52,201.80 = 20,742.06/x
  3. Step 3: Cross multiply
    34,754.66x = 52,201.80 × 20,742.06
  4. Step 4: Simplify right side
    34,754.66x = 1,082,772,867.71
  5. Step 5: Solve for x
    x = 1,082,772,867.71/34,754.66
  6. Step 6: Final answer
    x = 31,154.76

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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.