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Finding the Fourth Proportional to 91,963.49, 137,847.15 and 52,435.49

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Solution

The fourth proportional to 91,963.49, 137,847.15 and 52,435.49 is: 78,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,963.49 : 137,847.15 = 52,435.49 : x
  2. Step 2: Convert to fraction form
    91,963.49/137,847.15 = 52,435.49/x
  3. Step 3: Cross multiply
    91,963.49x = 137,847.15 × 52,435.49
  4. Step 4: Simplify right side
    91,963.49x = 7,228,082,166.12
  5. Step 5: Solve for x
    x = 7,228,082,166.12/91,963.49
  6. Step 6: Final answer
    x = 78,597.31

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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.