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Finding the Fourth Proportional to 97,871.36, 146,807.02 and 27,751.28

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Solution

The fourth proportional to 97,871.36, 146,807.02 and 27,751.28 is: 41,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,871.36 : 146,807.02 = 27,751.28 : x
  2. Step 2: Convert to fraction form
    97,871.36/146,807.02 = 27,751.28/x
  3. Step 3: Cross multiply
    97,871.36x = 146,807.02 × 27,751.28
  4. Step 4: Simplify right side
    97,871.36x = 4,074,082,717.99
  5. Step 5: Solve for x
    x = 4,074,082,717.99/97,871.36
  6. Step 6: Final answer
    x = 41,626.91

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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.