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Finding the Fourth Proportional to 69,905.40, 96,461.10 and 39,679.80

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Solution

The fourth proportional to 69,905.40, 96,461.10 and 39,679.80 is: 54,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,905.40 : 96,461.10 = 39,679.80 : x
  2. Step 2: Convert to fraction form
    69,905.40/96,461.10 = 39,679.80/x
  3. Step 3: Cross multiply
    69,905.40x = 96,461.10 × 39,679.80
  4. Step 4: Simplify right side
    69,905.40x = 3,827,557,155.78
  5. Step 5: Solve for x
    x = 3,827,557,155.78/69,905.40
  6. Step 6: Final answer
    x = 54,753.38

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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.