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Finding the Fourth Proportional to 27,499, 37,958.46 and 16,321

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Solution

The fourth proportional to 27,499, 37,958.46 and 16,321 is: 22,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,499 : 37,958.46 = 16,321 : x
  2. Step 2: Convert to fraction form
    27,499/37,958.46 = 16,321/x
  3. Step 3: Cross multiply
    27,499x = 37,958.46 × 16,321
  4. Step 4: Simplify right side
    27,499x = 619,520,025.66
  5. Step 5: Solve for x
    x = 619,520,025.66/27,499
  6. Step 6: Final answer
    x = 22,528.82

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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.