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Finding the Fourth Proportional to 27,490.75, 37,937.25 and 14,915.50

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Solution

The fourth proportional to 27,490.75, 37,937.25 and 14,915.50 is: 20,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,490.75 : 37,937.25 = 14,915.50 : x
  2. Step 2: Convert to fraction form
    27,490.75/37,937.25 = 14,915.50/x
  3. Step 3: Cross multiply
    27,490.75x = 37,937.25 × 14,915.50
  4. Step 4: Simplify right side
    27,490.75x = 565,853,052.38
  5. Step 5: Solve for x
    x = 565,853,052.38/27,490.75
  6. Step 6: Final answer
    x = 20,583.40

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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.