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Finding the Fourth Proportional to 61,966.50, 85,513.14 and 33,672.30

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Solution

The fourth proportional to 61,966.50, 85,513.14 and 33,672.30 is: 46,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,966.50 : 85,513.14 = 33,672.30 : x
  2. Step 2: Convert to fraction form
    61,966.50/85,513.14 = 33,672.30/x
  3. Step 3: Cross multiply
    61,966.50x = 85,513.14 × 33,672.30
  4. Step 4: Simplify right side
    61,966.50x = 2,879,424,104.02
  5. Step 5: Solve for x
    x = 2,879,424,104.02/61,966.50
  6. Step 6: Final answer
    x = 46,467.43

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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.