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Finding the Fourth Proportional to 27,087, 37,384.50 and 15,153.27

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Solution

The fourth proportional to 27,087, 37,384.50 and 15,153.27 is: 20,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,087 : 37,384.50 = 15,153.27 : x
  2. Step 2: Convert to fraction form
    27,087/37,384.50 = 15,153.27/x
  3. Step 3: Cross multiply
    27,087x = 37,384.50 × 15,153.27
  4. Step 4: Simplify right side
    27,087x = 566,497,422.32
  5. Step 5: Solve for x
    x = 566,497,422.32/27,087
  6. Step 6: Final answer
    x = 20,914.00

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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.