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Finding the Fourth Proportional to 29,750.50, 44,625.75 and 11,282.50

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Solution

The fourth proportional to 29,750.50, 44,625.75 and 11,282.50 is: 16,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750.50 : 44,625.75 = 11,282.50 : x
  2. Step 2: Convert to fraction form
    29,750.50/44,625.75 = 11,282.50/x
  3. Step 3: Cross multiply
    29,750.50x = 44,625.75 × 11,282.50
  4. Step 4: Simplify right side
    29,750.50x = 503,490,024.38
  5. Step 5: Solve for x
    x = 503,490,024.38/29,750.50
  6. Step 6: Final answer
    x = 16,923.75

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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.