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Finding the Fourth Proportional to 37,926, 56,889 and 10,224

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Solution

The fourth proportional to 37,926, 56,889 and 10,224 is: 15,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,926 : 56,889 = 10,224 : x
  2. Step 2: Convert to fraction form
    37,926/56,889 = 10,224/x
  3. Step 3: Cross multiply
    37,926x = 56,889 × 10,224
  4. Step 4: Simplify right side
    37,926x = 581,633,136
  5. Step 5: Solve for x
    x = 581,633,136/37,926
  6. Step 6: Final answer
    x = 15,336

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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.