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Finding the Fourth Proportional to 30,981.31, 46,471.88 and 8,794.71

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Solution

The fourth proportional to 30,981.31, 46,471.88 and 8,794.71 is: 13,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.31 : 46,471.88 = 8,794.71 : x
  2. Step 2: Convert to fraction form
    30,981.31/46,471.88 = 8,794.71/x
  3. Step 3: Cross multiply
    30,981.31x = 46,471.88 × 8,794.71
  4. Step 4: Simplify right side
    30,981.31x = 408,706,707.75
  5. Step 5: Solve for x
    x = 408,706,707.75/30,981.31
  6. Step 6: Final answer
    x = 13,192.04

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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.