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Finding the Fourth Proportional to 30,731.40, 42,406.20 and 17,300.52

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Solution

The fourth proportional to 30,731.40, 42,406.20 and 17,300.52 is: 23,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731.40 : 42,406.20 = 17,300.52 : x
  2. Step 2: Convert to fraction form
    30,731.40/42,406.20 = 17,300.52/x
  3. Step 3: Cross multiply
    30,731.40x = 42,406.20 × 17,300.52
  4. Step 4: Simplify right side
    30,731.40x = 733,649,311.22
  5. Step 5: Solve for x
    x = 733,649,311.22/30,731.40
  6. Step 6: Final answer
    x = 23,872.95

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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.