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Finding the Fourth Proportional to 27,449.84, 41,174.76 and 11,030

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Solution

The fourth proportional to 27,449.84, 41,174.76 and 11,030 is: 16,545

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,449.84 : 41,174.76 = 11,030 : x
  2. Step 2: Convert to fraction form
    27,449.84/41,174.76 = 11,030/x
  3. Step 3: Cross multiply
    27,449.84x = 41,174.76 × 11,030
  4. Step 4: Simplify right side
    27,449.84x = 454,157,602.80
  5. Step 5: Solve for x
    x = 454,157,602.80/27,449.84
  6. Step 6: Final answer
    x = 16,545

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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.