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Finding the Fourth Proportional to 71,315.16, 106,939.10 and 26,325.16

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Solution

The fourth proportional to 71,315.16, 106,939.10 and 26,325.16 is: 39,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,315.16 : 106,939.10 = 26,325.16 : x
  2. Step 2: Convert to fraction form
    71,315.16/106,939.10 = 26,325.16/x
  3. Step 3: Cross multiply
    71,315.16x = 106,939.10 × 26,325.16
  4. Step 4: Simplify right side
    71,315.16x = 2,815,188,917.76
  5. Step 5: Solve for x
    x = 2,815,188,917.76/71,315.16
  6. Step 6: Final answer
    x = 39,475.32

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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.