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Finding the Fourth Proportional to 27,576.40, 38,017.60 and 24,774

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Solution

The fourth proportional to 27,576.40, 38,017.60 and 24,774 is: 34,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576.40 : 38,017.60 = 24,774 : x
  2. Step 2: Convert to fraction form
    27,576.40/38,017.60 = 24,774/x
  3. Step 3: Cross multiply
    27,576.40x = 38,017.60 × 24,774
  4. Step 4: Simplify right side
    27,576.40x = 941,848,022.40
  5. Step 5: Solve for x
    x = 941,848,022.40/27,576.40
  6. Step 6: Final answer
    x = 34,154.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.