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Finding the Fourth Proportional to 32,938, 49,407.24 and 8,314

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Solution

The fourth proportional to 32,938, 49,407.24 and 8,314 is: 12,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938 : 49,407.24 = 8,314 : x
  2. Step 2: Convert to fraction form
    32,938/49,407.24 = 8,314/x
  3. Step 3: Cross multiply
    32,938x = 49,407.24 × 8,314
  4. Step 4: Simplify right side
    32,938x = 410,771,793.36
  5. Step 5: Solve for x
    x = 410,771,793.36/32,938
  6. Step 6: Final answer
    x = 12,471.06

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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.