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Finding the Fourth Proportional to 97,594.80, 146,391.48 and 27,472.56

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Solution

The fourth proportional to 97,594.80, 146,391.48 and 27,472.56 is: 41,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,594.80 : 146,391.48 = 27,472.56 : x
  2. Step 2: Convert to fraction form
    97,594.80/146,391.48 = 27,472.56/x
  3. Step 3: Cross multiply
    97,594.80x = 146,391.48 × 27,472.56
  4. Step 4: Simplify right side
    97,594.80x = 4,021,748,717.79
  5. Step 5: Solve for x
    x = 4,021,748,717.79/97,594.80
  6. Step 6: Final answer
    x = 41,208.64

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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.