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Finding the Fourth Proportional to 27,846.56, 41,782.08 and 10,312.64

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Solution

The fourth proportional to 27,846.56, 41,782.08 and 10,312.64 is: 15,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.56 : 41,782.08 = 10,312.64 : x
  2. Step 2: Convert to fraction form
    27,846.56/41,782.08 = 10,312.64/x
  3. Step 3: Cross multiply
    27,846.56x = 41,782.08 × 10,312.64
  4. Step 4: Simplify right side
    27,846.56x = 430,883,549.49
  5. Step 5: Solve for x
    x = 430,883,549.49/27,846.56
  6. Step 6: Final answer
    x = 15,473.49

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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.