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Finding the Fourth Proportional to 29,956.56, 44,923.92 and 10,229.82

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Solution

The fourth proportional to 29,956.56, 44,923.92 and 10,229.82 is: 15,341.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956.56 : 44,923.92 = 10,229.82 : x
  2. Step 2: Convert to fraction form
    29,956.56/44,923.92 = 10,229.82/x
  3. Step 3: Cross multiply
    29,956.56x = 44,923.92 × 10,229.82
  4. Step 4: Simplify right side
    29,956.56x = 459,563,615.29
  5. Step 5: Solve for x
    x = 459,563,615.29/29,956.56
  6. Step 6: Final answer
    x = 15,341.00

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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.