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Finding the Fourth Proportional to 27,832.50, 41,751.18 and 7,056

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Solution

The fourth proportional to 27,832.50, 41,751.18 and 7,056 is: 10,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.50 : 41,751.18 = 7,056 : x
  2. Step 2: Convert to fraction form
    27,832.50/41,751.18 = 7,056/x
  3. Step 3: Cross multiply
    27,832.50x = 41,751.18 × 7,056
  4. Step 4: Simplify right side
    27,832.50x = 294,596,326.08
  5. Step 5: Solve for x
    x = 294,596,326.08/27,832.50
  6. Step 6: Final answer
    x = 10,584.62

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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.