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Finding the Fourth Proportional to 37,505.39, 51,715.34 and 23,871.84

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Solution

The fourth proportional to 37,505.39, 51,715.34 and 23,871.84 is: 32,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,505.39 : 51,715.34 = 23,871.84 : x
  2. Step 2: Convert to fraction form
    37,505.39/51,715.34 = 23,871.84/x
  3. Step 3: Cross multiply
    37,505.39x = 51,715.34 × 23,871.84
  4. Step 4: Simplify right side
    37,505.39x = 1,234,540,322.03
  5. Step 5: Solve for x
    x = 1,234,540,322.03/37,505.39
  6. Step 6: Final answer
    x = 32,916.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.