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Finding the Fourth Proportional to 27,120.87, 40,710.06 and 24,021

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Solution

The fourth proportional to 27,120.87, 40,710.06 and 24,021 is: 36,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120.87 : 40,710.06 = 24,021 : x
  2. Step 2: Convert to fraction form
    27,120.87/40,710.06 = 24,021/x
  3. Step 3: Cross multiply
    27,120.87x = 40,710.06 × 24,021
  4. Step 4: Simplify right side
    27,120.87x = 977,896,351.26
  5. Step 5: Solve for x
    x = 977,896,351.26/27,120.87
  6. Step 6: Final answer
    x = 36,056.97

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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.