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Finding the Fourth Proportional to 55,566, 76,681.44 and 31,692.42

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Solution

The fourth proportional to 55,566, 76,681.44 and 31,692.42 is: 43,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,566 : 76,681.44 = 31,692.42 : x
  2. Step 2: Convert to fraction form
    55,566/76,681.44 = 31,692.42/x
  3. Step 3: Cross multiply
    55,566x = 76,681.44 × 31,692.42
  4. Step 4: Simplify right side
    55,566x = 2,430,220,402.68
  5. Step 5: Solve for x
    x = 2,430,220,402.68/55,566
  6. Step 6: Final answer
    x = 43,735.74

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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.