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Finding the Fourth Proportional to 37,636, 56,454 and 13,012

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Solution

The fourth proportional to 37,636, 56,454 and 13,012 is: 19,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,636 : 56,454 = 13,012 : x
  2. Step 2: Convert to fraction form
    37,636/56,454 = 13,012/x
  3. Step 3: Cross multiply
    37,636x = 56,454 × 13,012
  4. Step 4: Simplify right side
    37,636x = 734,579,448
  5. Step 5: Solve for x
    x = 734,579,448/37,636
  6. Step 6: Final answer
    x = 19,518

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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.