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Finding the Fourth Proportional to 97,908.48, 146,864.16 and 27,787.92

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Solution

The fourth proportional to 97,908.48, 146,864.16 and 27,787.92 is: 41,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,908.48 : 146,864.16 = 27,787.92 : x
  2. Step 2: Convert to fraction form
    97,908.48/146,864.16 = 27,787.92/x
  3. Step 3: Cross multiply
    97,908.48x = 146,864.16 × 27,787.92
  4. Step 4: Simplify right side
    97,908.48x = 4,081,049,528.95
  5. Step 5: Solve for x
    x = 4,081,049,528.95/97,908.48
  6. Step 6: Final answer
    x = 41,682.29

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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.