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Finding the Fourth Proportional to 51,584.08, 71,184 and 29,228.08

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Solution

The fourth proportional to 51,584.08, 71,184 and 29,228.08 is: 40,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,584.08 : 71,184 = 29,228.08 : x
  2. Step 2: Convert to fraction form
    51,584.08/71,184 = 29,228.08/x
  3. Step 3: Cross multiply
    51,584.08x = 71,184 × 29,228.08
  4. Step 4: Simplify right side
    51,584.08x = 2,080,571,646.72
  5. Step 5: Solve for x
    x = 2,080,571,646.72/51,584.08
  6. Step 6: Final answer
    x = 40,333.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.