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Finding the Fourth Proportional to 30,959.46, 46,439.19 and 12,478.50

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Solution

The fourth proportional to 30,959.46, 46,439.19 and 12,478.50 is: 18,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.46 : 46,439.19 = 12,478.50 : x
  2. Step 2: Convert to fraction form
    30,959.46/46,439.19 = 12,478.50/x
  3. Step 3: Cross multiply
    30,959.46x = 46,439.19 × 12,478.50
  4. Step 4: Simplify right side
    30,959.46x = 579,491,432.42
  5. Step 5: Solve for x
    x = 579,491,432.42/30,959.46
  6. Step 6: Final answer
    x = 18,717.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.