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Finding the Fourth Proportional to 37,497, 56,248.38 and 12,873

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Solution

The fourth proportional to 37,497, 56,248.38 and 12,873 is: 19,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,497 : 56,248.38 = 12,873 : x
  2. Step 2: Convert to fraction form
    37,497/56,248.38 = 12,873/x
  3. Step 3: Cross multiply
    37,497x = 56,248.38 × 12,873
  4. Step 4: Simplify right side
    37,497x = 724,085,395.74
  5. Step 5: Solve for x
    x = 724,085,395.74/37,497
  6. Step 6: Final answer
    x = 19,310.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.