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Finding the Fourth Proportional to 44,654, 61,623.24 and 24,782

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Solution

The fourth proportional to 44,654, 61,623.24 and 24,782 is: 34,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,654 : 61,623.24 = 24,782 : x
  2. Step 2: Convert to fraction form
    44,654/61,623.24 = 24,782/x
  3. Step 3: Cross multiply
    44,654x = 61,623.24 × 24,782
  4. Step 4: Simplify right side
    44,654x = 1,527,147,133.68
  5. Step 5: Solve for x
    x = 1,527,147,133.68/44,654
  6. Step 6: Final answer
    x = 34,199.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.