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Finding the Fourth Proportional to 37,666, 56,499 and 13,042

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Solution

The fourth proportional to 37,666, 56,499 and 13,042 is: 19,563

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,666 : 56,499 = 13,042 : x
  2. Step 2: Convert to fraction form
    37,666/56,499 = 13,042/x
  3. Step 3: Cross multiply
    37,666x = 56,499 × 13,042
  4. Step 4: Simplify right side
    37,666x = 736,859,958
  5. Step 5: Solve for x
    x = 736,859,958/37,666
  6. Step 6: Final answer
    x = 19,563

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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.