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Finding the Fourth Proportional to 47,543.96, 71,313.06 and 12,482.84

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Solution

The fourth proportional to 47,543.96, 71,313.06 and 12,482.84 is: 18,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,543.96 : 71,313.06 = 12,482.84 : x
  2. Step 2: Convert to fraction form
    47,543.96/71,313.06 = 12,482.84/x
  3. Step 3: Cross multiply
    47,543.96x = 71,313.06 × 12,482.84
  4. Step 4: Simplify right side
    47,543.96x = 890,189,517.89
  5. Step 5: Solve for x
    x = 890,189,517.89/47,543.96
  6. Step 6: Final answer
    x = 18,723.50

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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.