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Finding the Fourth Proportional to 37,951, 56,926.50 and 10,249

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Solution

The fourth proportional to 37,951, 56,926.50 and 10,249 is: 15,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,951 : 56,926.50 = 10,249 : x
  2. Step 2: Convert to fraction form
    37,951/56,926.50 = 10,249/x
  3. Step 3: Cross multiply
    37,951x = 56,926.50 × 10,249
  4. Step 4: Simplify right side
    37,951x = 583,439,698.50
  5. Step 5: Solve for x
    x = 583,439,698.50/37,951
  6. Step 6: Final answer
    x = 15,373.50

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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.