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Finding the Fourth Proportional to 30,458.42, 42,032.34 and 16,846.46

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Solution

The fourth proportional to 30,458.42, 42,032.34 and 16,846.46 is: 23,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.42 : 42,032.34 = 16,846.46 : x
  2. Step 2: Convert to fraction form
    30,458.42/42,032.34 = 16,846.46/x
  3. Step 3: Cross multiply
    30,458.42x = 42,032.34 × 16,846.46
  4. Step 4: Simplify right side
    30,458.42x = 708,096,134.52
  5. Step 5: Solve for x
    x = 708,096,134.52/30,458.42
  6. Step 6: Final answer
    x = 23,247.96

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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.