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Finding the Fourth Proportional to 37,668, 56,502 and 13,044

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Solution

The fourth proportional to 37,668, 56,502 and 13,044 is: 19,566

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668 : 56,502 = 13,044 : x
  2. Step 2: Convert to fraction form
    37,668/56,502 = 13,044/x
  3. Step 3: Cross multiply
    37,668x = 56,502 × 13,044
  4. Step 4: Simplify right side
    37,668x = 737,012,088
  5. Step 5: Solve for x
    x = 737,012,088/37,668
  6. Step 6: Final answer
    x = 19,566

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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.