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Finding the Fourth Proportional to 30,984.46, 46,478.46 and 8,796.10

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Solution

The fourth proportional to 30,984.46, 46,478.46 and 8,796.10 is: 13,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.46 : 46,478.46 = 8,796.10 : x
  2. Step 2: Convert to fraction form
    30,984.46/46,478.46 = 8,796.10/x
  3. Step 3: Cross multiply
    30,984.46x = 46,478.46 × 8,796.10
  4. Step 4: Simplify right side
    30,984.46x = 408,829,182.01
  5. Step 5: Solve for x
    x = 408,829,182.01/30,984.46
  6. Step 6: Final answer
    x = 13,194.65

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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.