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Finding the Fourth Proportional to 27,224.40, 37,483.70 and 24,732.96

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Solution

The fourth proportional to 27,224.40, 37,483.70 and 24,732.96 is: 34,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,224.40 : 37,483.70 = 24,732.96 : x
  2. Step 2: Convert to fraction form
    27,224.40/37,483.70 = 24,732.96/x
  3. Step 3: Cross multiply
    27,224.40x = 37,483.70 × 24,732.96
  4. Step 4: Simplify right side
    27,224.40x = 927,082,852.75
  5. Step 5: Solve for x
    x = 927,082,852.75/27,224.40
  6. Step 6: Final answer
    x = 34,053.38

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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.