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Finding the Fourth Proportional to 30,458.39, 42,032.84 and 16,846.20

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Solution

The fourth proportional to 30,458.39, 42,032.84 and 16,846.20 is: 23,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.39 : 42,032.84 = 16,846.20 : x
  2. Step 2: Convert to fraction form
    30,458.39/42,032.84 = 16,846.20/x
  3. Step 3: Cross multiply
    30,458.39x = 42,032.84 × 16,846.20
  4. Step 4: Simplify right side
    30,458.39x = 708,093,544.98
  5. Step 5: Solve for x
    x = 708,093,544.98/30,458.39
  6. Step 6: Final answer
    x = 23,247.90

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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.