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Finding the Fourth Proportional to 34,249, 51,373.50 and 9,625

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Solution

The fourth proportional to 34,249, 51,373.50 and 9,625 is: 14,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,249 : 51,373.50 = 9,625 : x
  2. Step 2: Convert to fraction form
    34,249/51,373.50 = 9,625/x
  3. Step 3: Cross multiply
    34,249x = 51,373.50 × 9,625
  4. Step 4: Simplify right side
    34,249x = 494,469,937.50
  5. Step 5: Solve for x
    x = 494,469,937.50/34,249
  6. Step 6: Final answer
    x = 14,437.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.