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Finding the Fourth Proportional to 71,865.16, 107,794.08 and 27,488.50

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Solution

The fourth proportional to 71,865.16, 107,794.08 and 27,488.50 is: 41,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,865.16 : 107,794.08 = 27,488.50 : x
  2. Step 2: Convert to fraction form
    71,865.16/107,794.08 = 27,488.50/x
  3. Step 3: Cross multiply
    71,865.16x = 107,794.08 × 27,488.50
  4. Step 4: Simplify right side
    71,865.16x = 2,963,097,568.08
  5. Step 5: Solve for x
    x = 2,963,097,568.08/71,865.16
  6. Step 6: Final answer
    x = 41,231.35

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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.