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Finding the Fourth Proportional to 47,706.68, 71,566.50 and 16,544.36

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Solution

The fourth proportional to 47,706.68, 71,566.50 and 16,544.36 is: 24,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706.68 : 71,566.50 = 16,544.36 : x
  2. Step 2: Convert to fraction form
    47,706.68/71,566.50 = 16,544.36/x
  3. Step 3: Cross multiply
    47,706.68x = 71,566.50 × 16,544.36
  4. Step 4: Simplify right side
    47,706.68x = 1,184,021,939.94
  5. Step 5: Solve for x
    x = 1,184,021,939.94/47,706.68
  6. Step 6: Final answer
    x = 24,818.79

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