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Finding the Fourth Proportional to 27,494, 37,951.56 and 16,316

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Solution

The fourth proportional to 27,494, 37,951.56 and 16,316 is: 22,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494 : 37,951.56 = 16,316 : x
  2. Step 2: Convert to fraction form
    27,494/37,951.56 = 16,316/x
  3. Step 3: Cross multiply
    27,494x = 37,951.56 × 16,316
  4. Step 4: Simplify right side
    27,494x = 619,217,652.96
  5. Step 5: Solve for x
    x = 619,217,652.96/27,494
  6. Step 6: Final answer
    x = 22,521.92

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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.