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Finding the Fourth Proportional to 37,925, 56,887.50 and 10,223

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Solution

The fourth proportional to 37,925, 56,887.50 and 10,223 is: 15,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,925 : 56,887.50 = 10,223 : x
  2. Step 2: Convert to fraction form
    37,925/56,887.50 = 10,223/x
  3. Step 3: Cross multiply
    37,925x = 56,887.50 × 10,223
  4. Step 4: Simplify right side
    37,925x = 581,560,912.50
  5. Step 5: Solve for x
    x = 581,560,912.50/37,925
  6. Step 6: Final answer
    x = 15,334.50

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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.