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Finding the Fourth Proportional to 71,314.02, 106,971.03 and 24,563.25

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Solution

The fourth proportional to 71,314.02, 106,971.03 and 24,563.25 is: 36,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314.02 : 106,971.03 = 24,563.25 : x
  2. Step 2: Convert to fraction form
    71,314.02/106,971.03 = 24,563.25/x
  3. Step 3: Cross multiply
    71,314.02x = 106,971.03 × 24,563.25
  4. Step 4: Simplify right side
    71,314.02x = 2,627,556,152.65
  5. Step 5: Solve for x
    x = 2,627,556,152.65/71,314.02
  6. Step 6: Final answer
    x = 36,844.88

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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.