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Finding the Fourth Proportional to 41,671.72, 62,533.50 and 30,407.32

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Solution

The fourth proportional to 41,671.72, 62,533.50 and 30,407.32 is: 45,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,671.72 : 62,533.50 = 30,407.32 : x
  2. Step 2: Convert to fraction form
    41,671.72/62,533.50 = 30,407.32/x
  3. Step 3: Cross multiply
    41,671.72x = 62,533.50 × 30,407.32
  4. Step 4: Simplify right side
    41,671.72x = 1,901,476,145.22
  5. Step 5: Solve for x
    x = 1,901,476,145.22/41,671.72
  6. Step 6: Final answer
    x = 45,629.89

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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.