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Finding the Fourth Proportional to 61,825.80, 92,760.30 and 22,384.20

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Solution

The fourth proportional to 61,825.80, 92,760.30 and 22,384.20 is: 33,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,825.80 : 92,760.30 = 22,384.20 : x
  2. Step 2: Convert to fraction form
    61,825.80/92,760.30 = 22,384.20/x
  3. Step 3: Cross multiply
    61,825.80x = 92,760.30 × 22,384.20
  4. Step 4: Simplify right side
    61,825.80x = 2,076,365,107.26
  5. Step 5: Solve for x
    x = 2,076,365,107.26/61,825.80
  6. Step 6: Final answer
    x = 33,584.12

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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.