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Finding the Fourth Proportional to 39,407.94, 54,384.15 and 22,414.63

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Solution

The fourth proportional to 39,407.94, 54,384.15 and 22,414.63 is: 30,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,407.94 : 54,384.15 = 22,414.63 : x
  2. Step 2: Convert to fraction form
    39,407.94/54,384.15 = 22,414.63/x
  3. Step 3: Cross multiply
    39,407.94x = 54,384.15 × 22,414.63
  4. Step 4: Simplify right side
    39,407.94x = 1,219,000,650.18
  5. Step 5: Solve for x
    x = 1,219,000,650.18/39,407.94
  6. Step 6: Final answer
    x = 30,932.87

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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.