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Finding the Fourth Proportional to 33,438.48, 49,862.96 and 33,138.64

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Solution

The fourth proportional to 33,438.48, 49,862.96 and 33,138.64 is: 49,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438.48 : 49,862.96 = 33,138.64 : x
  2. Step 2: Convert to fraction form
    33,438.48/49,862.96 = 33,138.64/x
  3. Step 3: Cross multiply
    33,438.48x = 49,862.96 × 33,138.64
  4. Step 4: Simplify right side
    33,438.48x = 1,652,390,680.77
  5. Step 5: Solve for x
    x = 1,652,390,680.77/33,438.48
  6. Step 6: Final answer
    x = 49,415.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.