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Finding the Fourth Proportional to 47,611.68, 71,416.80 and 11,588.26

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Solution

The fourth proportional to 47,611.68, 71,416.80 and 11,588.26 is: 17,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,611.68 : 71,416.80 = 11,588.26 : x
  2. Step 2: Convert to fraction form
    47,611.68/71,416.80 = 11,588.26/x
  3. Step 3: Cross multiply
    47,611.68x = 71,416.80 × 11,588.26
  4. Step 4: Simplify right side
    47,611.68x = 827,596,118.65
  5. Step 5: Solve for x
    x = 827,596,118.65/47,611.68
  6. Step 6: Final answer
    x = 17,382.21

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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.