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Finding the Fourth Proportional to 27,834.03, 41,750.64 and 7,057.53

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Solution

The fourth proportional to 27,834.03, 41,750.64 and 7,057.53 is: 10,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.03 : 41,750.64 = 7,057.53 : x
  2. Step 2: Convert to fraction form
    27,834.03/41,750.64 = 7,057.53/x
  3. Step 3: Cross multiply
    27,834.03x = 41,750.64 × 7,057.53
  4. Step 4: Simplify right side
    27,834.03x = 294,656,394.32
  5. Step 5: Solve for x
    x = 294,656,394.32/27,834.03
  6. Step 6: Final answer
    x = 10,586.19

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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.