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Finding the Fourth Proportional to 27,832.42, 41,748.72 and 7,055.92

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Solution

The fourth proportional to 27,832.42, 41,748.72 and 7,055.92 is: 10,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.42 : 41,748.72 = 7,055.92 : x
  2. Step 2: Convert to fraction form
    27,832.42/41,748.72 = 7,055.92/x
  3. Step 3: Cross multiply
    27,832.42x = 41,748.72 × 7,055.92
  4. Step 4: Simplify right side
    27,832.42x = 294,575,628.42
  5. Step 5: Solve for x
    x = 294,575,628.42/27,832.42
  6. Step 6: Final answer
    x = 10,583.90

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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.