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Finding the Fourth Proportional to 97,912.48, 146,870.16 and 27,791.92

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Solution

The fourth proportional to 97,912.48, 146,870.16 and 27,791.92 is: 41,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,912.48 : 146,870.16 = 27,791.92 : x
  2. Step 2: Convert to fraction form
    97,912.48/146,870.16 = 27,791.92/x
  3. Step 3: Cross multiply
    97,912.48x = 146,870.16 × 27,791.92
  4. Step 4: Simplify right side
    97,912.48x = 4,081,803,737.11
  5. Step 5: Solve for x
    x = 4,081,803,737.11/97,912.48
  6. Step 6: Final answer
    x = 41,688.29

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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.