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Finding the Fourth Proportional to 61,784.94, 92,644.20 and 19,653.60

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Solution

The fourth proportional to 61,784.94, 92,644.20 and 19,653.60 is: 29,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,784.94 : 92,644.20 = 19,653.60 : x
  2. Step 2: Convert to fraction form
    61,784.94/92,644.20 = 19,653.60/x
  3. Step 3: Cross multiply
    61,784.94x = 92,644.20 × 19,653.60
  4. Step 4: Simplify right side
    61,784.94x = 1,820,792,049.12
  5. Step 5: Solve for x
    x = 1,820,792,049.12/61,784.94
  6. Step 6: Final answer
    x = 29,469.84

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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.