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Finding the Fourth Proportional to 27,124, 37,435.44 and 15,946

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Solution

The fourth proportional to 27,124, 37,435.44 and 15,946 is: 22,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124 : 37,435.44 = 15,946 : x
  2. Step 2: Convert to fraction form
    27,124/37,435.44 = 15,946/x
  3. Step 3: Cross multiply
    27,124x = 37,435.44 × 15,946
  4. Step 4: Simplify right side
    27,124x = 596,945,526.24
  5. Step 5: Solve for x
    x = 596,945,526.24/27,124
  6. Step 6: Final answer
    x = 22,008.02

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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.