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Finding the Fourth Proportional to 30,400.52, 41,940.65 and 20,312.98

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Solution

The fourth proportional to 30,400.52, 41,940.65 and 20,312.98 is: 28,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.52 : 41,940.65 = 20,312.98 : x
  2. Step 2: Convert to fraction form
    30,400.52/41,940.65 = 20,312.98/x
  3. Step 3: Cross multiply
    30,400.52x = 41,940.65 × 20,312.98
  4. Step 4: Simplify right side
    30,400.52x = 851,939,378.22
  5. Step 5: Solve for x
    x = 851,939,378.22/30,400.52
  6. Step 6: Final answer
    x = 28,023.85

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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.