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Finding the Fourth Proportional to 97,962.92, 146,943.76 and 26,880

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Solution

The fourth proportional to 97,962.92, 146,943.76 and 26,880 is: 40,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,962.92 : 146,943.76 = 26,880 : x
  2. Step 2: Convert to fraction form
    97,962.92/146,943.76 = 26,880/x
  3. Step 3: Cross multiply
    97,962.92x = 146,943.76 × 26,880
  4. Step 4: Simplify right side
    97,962.92x = 3,949,848,268.80
  5. Step 5: Solve for x
    x = 3,949,848,268.80/97,962.92
  6. Step 6: Final answer
    x = 40,319.83

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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.