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Finding the Fourth Proportional to 57,692.80, 86,587.80 and 22,657.60

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Solution

The fourth proportional to 57,692.80, 86,587.80 and 22,657.60 is: 34,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,692.80 : 86,587.80 = 22,657.60 : x
  2. Step 2: Convert to fraction form
    57,692.80/86,587.80 = 22,657.60/x
  3. Step 3: Cross multiply
    57,692.80x = 86,587.80 × 22,657.60
  4. Step 4: Simplify right side
    57,692.80x = 1,961,871,737.28
  5. Step 5: Solve for x
    x = 1,961,871,737.28/57,692.80
  6. Step 6: Final answer
    x = 34,005.49

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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.