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Finding the Fourth Proportional to 61,983.40, 92,965.98 and 20,425

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Solution

The fourth proportional to 61,983.40, 92,965.98 and 20,425 is: 30,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,983.40 : 92,965.98 = 20,425 : x
  2. Step 2: Convert to fraction form
    61,983.40/92,965.98 = 20,425/x
  3. Step 3: Cross multiply
    61,983.40x = 92,965.98 × 20,425
  4. Step 4: Simplify right side
    61,983.40x = 1,898,830,141.50
  5. Step 5: Solve for x
    x = 1,898,830,141.50/61,983.40
  6. Step 6: Final answer
    x = 30,634.49

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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.