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Finding the Fourth Proportional to 34,686.40, 47,873.44 and 20,546.24

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Solution

The fourth proportional to 34,686.40, 47,873.44 and 20,546.24 is: 28,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,686.40 : 47,873.44 = 20,546.24 : x
  2. Step 2: Convert to fraction form
    34,686.40/47,873.44 = 20,546.24/x
  3. Step 3: Cross multiply
    34,686.40x = 47,873.44 × 20,546.24
  4. Step 4: Simplify right side
    34,686.40x = 983,619,187.87
  5. Step 5: Solve for x
    x = 983,619,187.87/34,686.40
  6. Step 6: Final answer
    x = 28,357.49

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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.